Deck 6: Analytic Trigonometry

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Question
If  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  , use trigonometric substitution to write  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  as a trigonometric function of θ\theta , where  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  .

A)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
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Question
Which of the following is equivalent to the given expression? <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the exact value of the given expression using a sum or difference formula. <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
Question
Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the exact value of the given expression using a sum or difference formula. <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
Question
Write the given expression as an algebraic expression. <strong>Write the given expression as an algebraic expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Write the given expression as an algebraic expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Write the given expression as an algebraic expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Write the given expression as an algebraic expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Write the given expression as an algebraic expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Write the given expression as an algebraic expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent. <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the exact solutions of the given equation in the interval <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Write the given expression as the cosine of an angle. <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent. <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
If  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  , use trigonometric substitution to write  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  as a trigonometric function of θ\theta , where  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  .

A)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Write the given expression as the sine of an angle. <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the exact value of the given expression. <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Solve the multiple-angle equation. <strong>Solve the multiple-angle equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the multiple-angle equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the multiple-angle equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the multiple-angle equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the multiple-angle equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the multiple-angle equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the exact value of the given expression. <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
Question
Use the cofunction identities to evaluate the expression below without the aid of a calculator. <strong>Use the cofunction identities to evaluate the expression below without the aid of a calculator.  </strong> A) 2 B) 0 C) 1 D)   E) -1 <div style=padding-top: 35px>

A) 2
B) 0
C) 1
D) <strong>Use the cofunction identities to evaluate the expression below without the aid of a calculator.  </strong> A) 2 B) 0 C) 1 D)   E) -1 <div style=padding-top: 35px>
E) -1
Question
Find the exact value of the given expression. <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
Question
Rewrite <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> as a single logarithm and then simplify the result.

A) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the exact value of <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> given that <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> and <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . (Both u and v are in Quadrant II.)

A) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use the figure below to find the exact value of the given trigonometric expression. <strong>Use the figure below to find the exact value of the given trigonometric expression.     5 12 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>Use the figure below to find the exact value of the given trigonometric expression.     5 12 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> 5 12
(figure not necessarily to scale)

A) <strong>Use the figure below to find the exact value of the given trigonometric expression.     5 12 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use the figure below to find the exact value of the given trigonometric expression.     5 12 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use the figure below to find the exact value of the given trigonometric expression.     5 12 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use the figure below to find the exact value of the given trigonometric expression.     5 12 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use the figure below to find the exact value of the given trigonometric expression.     5 12 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
If  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  , use trigonometric substitution to write  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  as a trigonometric function of θ\theta , where  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  .

A)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the exact value of the given expression. <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
Question
Which of the following is equivalent to the given expression? <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Solve the multiple-angle equation. <strong>Solve the multiple-angle equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the multiple-angle equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the multiple-angle equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the multiple-angle equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the multiple-angle equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the multiple-angle equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the exact value of the given expression. <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
Question
Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent. <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the exact value of the given expression using a sum or difference formula. <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
Question
Write the given expression as the cosine of an angle. <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the exact solutions of the given equation in the interval <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
If  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  , use trigonometric substitution to write  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  as a trigonometric function of θ\theta , where  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  .

A)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use the cofunction identities to evaluate the expression below without the aid of a calculator. <strong>Use the cofunction identities to evaluate the expression below without the aid of a calculator.  </strong> A) -1 B) 0 C) 1 D)   E) 2 <div style=padding-top: 35px>

A) -1
B) 0
C) 1
D) <strong>Use the cofunction identities to evaluate the expression below without the aid of a calculator.  </strong> A) -1 B) 0 C) 1 D)   E) 2 <div style=padding-top: 35px>
E) 2
Question
Use the half-angle formulas to determine the exact value of the given trigonometric expression. <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use the product-to-sum formula to write the given product as a sum or difference. <strong>Use the product-to-sum formula to write the given product as a sum or difference.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use the product-to-sum formula to write the given product as a sum or difference.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use the product-to-sum formula to write the given product as a sum or difference.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use the product-to-sum formula to write the given product as a sum or difference.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use the product-to-sum formula to write the given product as a sum or difference.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use the product-to-sum formula to write the given product as a sum or difference.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Rewrite <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> as a single logarithm and then simplify the result.

A) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the exact value of the given expression using a sum or difference formula. <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
Question
Find all solutions of the given equation in the interval <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent. <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the exact solutions of the given equation in the interval <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Which of the following is equivalent to the given expression? <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent. <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Rewrite <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> as a single logarithm and then simplify the result.

A) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the exact solutions of the given equation in the interval <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Write the given expression as the sine of an angle. <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use the half-angle formulas to determine the exact value of the given trigonometric expression. <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
If  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  , use trigonometric substitution to write  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  as a trigonometric function of θ\theta , where  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  .

A)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use the cofunction identities to evaluate the expression below without the aid of a calculator. <strong>Use the cofunction identities to evaluate the expression below without the aid of a calculator.  </strong> A) 1 B) 2 C) -1 D) 0 E)   <div style=padding-top: 35px>

A) 1
B) 2
C) -1
D) 0
E) <strong>Use the cofunction identities to evaluate the expression below without the aid of a calculator.  </strong> A) 1 B) 2 C) -1 D) 0 E)   <div style=padding-top: 35px>
Question
Find the exact value of the given expression. <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Write the given expression as an algebraic expression. <strong>Write the given expression as an algebraic expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Write the given expression as an algebraic expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Write the given expression as an algebraic expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Write the given expression as an algebraic expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Write the given expression as an algebraic expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Write the given expression as an algebraic expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find all solutions of the given equation in the interval <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use the figure below to find the exact value of the given trigonometric expression. <strong>Use the figure below to find the exact value of the given trigonometric expression.     5 12 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>Use the figure below to find the exact value of the given trigonometric expression.     5 12 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> 5 12
(figure not necessarily to scale)

A) <strong>Use the figure below to find the exact value of the given trigonometric expression.     5 12 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use the figure below to find the exact value of the given trigonometric expression.     5 12 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use the figure below to find the exact value of the given trigonometric expression.     5 12 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use the figure below to find the exact value of the given trigonometric expression.     5 12 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use the figure below to find the exact value of the given trigonometric expression.     5 12 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent. <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
If  <strong>If   , use trigonometric substitution to write   as a trigonometric function of F \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  , use trigonometric substitution to write  <strong>If   , use trigonometric substitution to write   as a trigonometric function of F \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  as a trigonometric function of F θ\theta , where  <strong>If   , use trigonometric substitution to write   as a trigonometric function of F \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  .

A)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of F \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of F \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of F \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of F \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of F \theta , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use the product-to-sum formula to write the given product as a sum or difference. <strong>Use the product-to-sum formula to write the given product as a sum or difference.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use the product-to-sum formula to write the given product as a sum or difference.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use the product-to-sum formula to write the given product as a sum or difference.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use the product-to-sum formula to write the given product as a sum or difference.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use the product-to-sum formula to write the given product as a sum or difference.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use the product-to-sum formula to write the given product as a sum or difference.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the exact value of <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> given that <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> and <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . (Both u and v are in Quadrant II.)

A) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Solve the multiple-angle equation. <strong>Solve the multiple-angle equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the multiple-angle equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the multiple-angle equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the multiple-angle equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the multiple-angle equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the multiple-angle equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the exact solutions of the given equation in the interval <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Which of the following is equivalent to the given expression? <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find all solutions of the given equation in the interval <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the exact value of the given expression. <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
Question
Find the exact value of <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> given that <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> and <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . (Both u and v are in Quadrant II.)

A) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use a graphing utility to determine which of the trigonometric functions is equal to the following expression. <strong>Use a graphing utility to determine which of the trigonometric functions is equal to the following expression.  </strong> A)   B)   C)   D)   E)   4 <div style=padding-top: 35px>

A) <strong>Use a graphing utility to determine which of the trigonometric functions is equal to the following expression.  </strong> A)   B)   C)   D)   E)   4 <div style=padding-top: 35px>
B) <strong>Use a graphing utility to determine which of the trigonometric functions is equal to the following expression.  </strong> A)   B)   C)   D)   E)   4 <div style=padding-top: 35px>
C) <strong>Use a graphing utility to determine which of the trigonometric functions is equal to the following expression.  </strong> A)   B)   C)   D)   E)   4 <div style=padding-top: 35px>
D) <strong>Use a graphing utility to determine which of the trigonometric functions is equal to the following expression.  </strong> A)   B)   C)   D)   E)   4 <div style=padding-top: 35px>
E) <strong>Use a graphing utility to determine which of the trigonometric functions is equal to the following expression.  </strong> A)   B)   C)   D)   E)   4 <div style=padding-top: 35px> 4
Question
Use the figure below to find the exact value of the given trigonometric expression. <strong>Use the figure below to find the exact value of the given trigonometric expression.     8 15 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>Use the figure below to find the exact value of the given trigonometric expression.     8 15 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> 8 15
(figure not necessarily to scale)

A) <strong>Use the figure below to find the exact value of the given trigonometric expression.     8 15 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use the figure below to find the exact value of the given trigonometric expression.     8 15 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use the figure below to find the exact value of the given trigonometric expression.     8 15 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use the figure below to find the exact value of the given trigonometric expression.     8 15 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use the figure below to find the exact value of the given trigonometric expression.     8 15 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the exact value of the given expression using a sum or difference formula. <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
Question
Write the given expression as the cosine of an angle. <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
If  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta  , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  , use trigonometric substitution to write  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta  , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  as a trigonometric function of θ\theta , where  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta  , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  .

A)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta  , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta  , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta  , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta  , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta  , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the exact value of the given expression. <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the exact solutions of the given equation in the interval <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the exact value of the given expression using a sum or difference formula. <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
Question
Write the given expression as an algebraic expression. <strong>Write the given expression as an algebraic expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Write the given expression as an algebraic expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Write the given expression as an algebraic expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Write the given expression as an algebraic expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Write the given expression as an algebraic expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Write the given expression as an algebraic expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Write the given expression as the sine of an angle. <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use the half-angle formulas to determine the exact value of the given trigonometric expression. <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the exact value of the given expression. <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
Question
If  <strong>If   , use trigonometric substitution to write   as a trigonometric function of \theta  , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  , use trigonometric substitution to write  <strong>If   , use trigonometric substitution to write   as a trigonometric function of \theta  , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  as a trigonometric function of θ\theta , where  <strong>If   , use trigonometric substitution to write   as a trigonometric function of \theta  , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  .

A)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of \theta  , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of \theta  , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of \theta  , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of \theta  , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of \theta  , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use the product-to-sum formula to write the given product as a sum or difference. <strong>Use the product-to-sum formula to write the given product as a sum or difference.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use the product-to-sum formula to write the given product as a sum or difference.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use the product-to-sum formula to write the given product as a sum or difference.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use the product-to-sum formula to write the given product as a sum or difference.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use the product-to-sum formula to write the given product as a sum or difference.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use the product-to-sum formula to write the given product as a sum or difference.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
If  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta  , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  , use trigonometric substitution to write  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta  , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  as a trigonometric function of θ\theta , where  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta  , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  .

A)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta  , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta  , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta  , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta  , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta  , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
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Deck 6: Analytic Trigonometry
1
If  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)    , use trigonometric substitution to write  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)    as a trigonometric function of θ\theta , where  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)    .

A)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)
B)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)
C)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)
D)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)
E)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)

2
Which of the following is equivalent to the given expression? <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)

A) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)
B) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)
C) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)
D) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)
E) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)
3
Find the exact value of the given expression using a sum or difference formula. <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)

A) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)
B) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)
C) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)
D) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)
4
Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   . <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)

A) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
B) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
C) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
D) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
E) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
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5
Find the exact value of the given expression using a sum or difference formula. <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)

A) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)
B) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)
C) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)
D) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)
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6
Write the given expression as an algebraic expression. <strong>Write the given expression as an algebraic expression.  </strong> A)   B)   C)   D)   E)

A) <strong>Write the given expression as an algebraic expression.  </strong> A)   B)   C)   D)   E)
B) <strong>Write the given expression as an algebraic expression.  </strong> A)   B)   C)   D)   E)
C) <strong>Write the given expression as an algebraic expression.  </strong> A)   B)   C)   D)   E)
D) <strong>Write the given expression as an algebraic expression.  </strong> A)   B)   C)   D)   E)
E) <strong>Write the given expression as an algebraic expression.  </strong> A)   B)   C)   D)   E)
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7
Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent. <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)

A) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)
B) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)
C) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)
D) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)
E) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)
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8
Find the exact solutions of the given equation in the interval <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   . <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)

A) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
B) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
C) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
D) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
E) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
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9
Write the given expression as the cosine of an angle. <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)

A) <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)
B) <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)
C) <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)
D) <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)
E) <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)
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10
Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent. <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)

A) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)
B) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)
C) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)
D) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)
E) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)
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11
If  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)    , use trigonometric substitution to write  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)    as a trigonometric function of θ\theta , where  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)    .

A)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)
B)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)
C)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)
D)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)
E)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)
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12
Write the given expression as the sine of an angle. <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)

A) <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)
B) <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)
C) <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)
D) <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)
E) <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)
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13
Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   . <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)

A) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
B) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
C) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
D) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
E) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
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14
Find the exact value of the given expression. <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   E)
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15
Solve the multiple-angle equation. <strong>Solve the multiple-angle equation.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the multiple-angle equation.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the multiple-angle equation.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the multiple-angle equation.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the multiple-angle equation.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the multiple-angle equation.  </strong> A)   B)   C)   D)   E)
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16
Find the exact value of the given expression. <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)

A) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)
B) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)
C) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)
D) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)
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17
Use the cofunction identities to evaluate the expression below without the aid of a calculator. <strong>Use the cofunction identities to evaluate the expression below without the aid of a calculator.  </strong> A) 2 B) 0 C) 1 D)   E) -1

A) 2
B) 0
C) 1
D) <strong>Use the cofunction identities to evaluate the expression below without the aid of a calculator.  </strong> A) 2 B) 0 C) 1 D)   E) -1
E) -1
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18
Find the exact value of the given expression. <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)

A) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)
B) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)
C) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)
D) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)
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19
Rewrite <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)   as a single logarithm and then simplify the result.

A) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)
B) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)
C) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)
D) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)
E) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)
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20
Find the exact value of <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   given that <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   and <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   . (Both u and v are in Quadrant II.)

A) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)
B) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)
C) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)
D) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)
E) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)
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21
Use the figure below to find the exact value of the given trigonometric expression. <strong>Use the figure below to find the exact value of the given trigonometric expression.     5 12 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)   <strong>Use the figure below to find the exact value of the given trigonometric expression.     5 12 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)   5 12
(figure not necessarily to scale)

A) <strong>Use the figure below to find the exact value of the given trigonometric expression.     5 12 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)
B) <strong>Use the figure below to find the exact value of the given trigonometric expression.     5 12 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)
C) <strong>Use the figure below to find the exact value of the given trigonometric expression.     5 12 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)
D) <strong>Use the figure below to find the exact value of the given trigonometric expression.     5 12 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)
E) <strong>Use the figure below to find the exact value of the given trigonometric expression.     5 12 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)
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22
If  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)    , use trigonometric substitution to write  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)    as a trigonometric function of θ\theta , where  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)    .

A)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)
B)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)
C)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)
D)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)
E)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)
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23
Find the exact value of the given expression. <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)

A) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)
B) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)
C) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)
D) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)
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24
Which of the following is equivalent to the given expression? <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)

A) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)
B) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)
C) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)
D) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)
E) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)
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25
Solve the multiple-angle equation. <strong>Solve the multiple-angle equation.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the multiple-angle equation.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the multiple-angle equation.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the multiple-angle equation.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the multiple-angle equation.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the multiple-angle equation.  </strong> A)   B)   C)   D)   E)
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26
Find the exact value of the given expression. <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)

A) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)
B) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)
C) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)
D) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)
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27
Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent. <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)

A) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)
B) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)
C) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)
D) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)
E) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)
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28
Find the exact value of the given expression using a sum or difference formula. <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)

A) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)
B) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)
C) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)
D) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)
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29
Write the given expression as the cosine of an angle. <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)

A) <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)
B) <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)
C) <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)
D) <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)
E) <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)
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30
Find the exact solutions of the given equation in the interval <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   . <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)

A) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
B) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
C) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
D) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
E) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
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31
If  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)    , use trigonometric substitution to write  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)    as a trigonometric function of θ\theta , where  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)    .

A)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)
B)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)
C)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)
D)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)
E)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)
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32
Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   . <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)

A) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
B) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
C) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
D) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
E) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
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33
Use the cofunction identities to evaluate the expression below without the aid of a calculator. <strong>Use the cofunction identities to evaluate the expression below without the aid of a calculator.  </strong> A) -1 B) 0 C) 1 D)   E) 2

A) -1
B) 0
C) 1
D) <strong>Use the cofunction identities to evaluate the expression below without the aid of a calculator.  </strong> A) -1 B) 0 C) 1 D)   E) 2
E) 2
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34
Use the half-angle formulas to determine the exact value of the given trigonometric expression. <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression.  </strong> A)   B)   C)   D)   E)

A) <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression.  </strong> A)   B)   C)   D)   E)
B) <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression.  </strong> A)   B)   C)   D)   E)
C) <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression.  </strong> A)   B)   C)   D)   E)
D) <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression.  </strong> A)   B)   C)   D)   E)
E) <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression.  </strong> A)   B)   C)   D)   E)
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35
Use the product-to-sum formula to write the given product as a sum or difference. <strong>Use the product-to-sum formula to write the given product as a sum or difference.  </strong> A)   B)   C)   D)   E)

A) <strong>Use the product-to-sum formula to write the given product as a sum or difference.  </strong> A)   B)   C)   D)   E)
B) <strong>Use the product-to-sum formula to write the given product as a sum or difference.  </strong> A)   B)   C)   D)   E)
C) <strong>Use the product-to-sum formula to write the given product as a sum or difference.  </strong> A)   B)   C)   D)   E)
D) <strong>Use the product-to-sum formula to write the given product as a sum or difference.  </strong> A)   B)   C)   D)   E)
E) <strong>Use the product-to-sum formula to write the given product as a sum or difference.  </strong> A)   B)   C)   D)   E)
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36
Rewrite <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)   as a single logarithm and then simplify the result.

A) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)
B) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)
C) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)
D) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)
E) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)
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37
Find the exact value of the given expression using a sum or difference formula. <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)

A) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)
B) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)
C) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)
D) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)
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38
Find all solutions of the given equation in the interval <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   . <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)

A) <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
B) <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
C) <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
D) <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
E) <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
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39
Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   . <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)

A) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
B) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
C) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
D) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
E) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
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40
Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent. <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)

A) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)
B) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)
C) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)
D) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)
E) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)
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41
Find the exact solutions of the given equation in the interval <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   . <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)

A) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
B) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
C) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
D) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
E) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
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42
Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   . <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)

A) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
B) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
C) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
D) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
E) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
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43
Which of the following is equivalent to the given expression? <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)

A) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)
B) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)
C) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)
D) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)
E) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)
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44
Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   . <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)

A) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
B) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
C) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
D) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
E) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
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45
Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent. <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)

A) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)
B) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)
C) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)
D) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)
E) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)
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46
Rewrite <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)   as a single logarithm and then simplify the result.

A) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)
B) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)
C) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)
D) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)
E) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)
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47
Find the exact solutions of the given equation in the interval <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   . <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)

A) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
B) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
C) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
D) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
E) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
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48
Write the given expression as the sine of an angle. <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)

A) <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)
B) <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)
C) <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)
D) <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)
E) <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)
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49
Use the half-angle formulas to determine the exact value of the given trigonometric expression. <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression.  </strong> A)   B)   C)   D)   E)

A) <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression.  </strong> A)   B)   C)   D)   E)
B) <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression.  </strong> A)   B)   C)   D)   E)
C) <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression.  </strong> A)   B)   C)   D)   E)
D) <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression.  </strong> A)   B)   C)   D)   E)
E) <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression.  </strong> A)   B)   C)   D)   E)
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50
If  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)    , use trigonometric substitution to write  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)    as a trigonometric function of θ\theta , where  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)    .

A)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)
B)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)
C)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)
D)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)
E)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta , where   .</strong> A)   B)   C)   D)   E)
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51
Use the cofunction identities to evaluate the expression below without the aid of a calculator. <strong>Use the cofunction identities to evaluate the expression below without the aid of a calculator.  </strong> A) 1 B) 2 C) -1 D) 0 E)

A) 1
B) 2
C) -1
D) 0
E) <strong>Use the cofunction identities to evaluate the expression below without the aid of a calculator.  </strong> A) 1 B) 2 C) -1 D) 0 E)
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52
Find the exact value of the given expression. <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   E)
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53
Write the given expression as an algebraic expression. <strong>Write the given expression as an algebraic expression.  </strong> A)   B)   C)   D)   E)

A) <strong>Write the given expression as an algebraic expression.  </strong> A)   B)   C)   D)   E)
B) <strong>Write the given expression as an algebraic expression.  </strong> A)   B)   C)   D)   E)
C) <strong>Write the given expression as an algebraic expression.  </strong> A)   B)   C)   D)   E)
D) <strong>Write the given expression as an algebraic expression.  </strong> A)   B)   C)   D)   E)
E) <strong>Write the given expression as an algebraic expression.  </strong> A)   B)   C)   D)   E)
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54
Find all solutions of the given equation in the interval <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   . <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)

A) <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
B) <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
C) <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
D) <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
E) <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
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55
Use the figure below to find the exact value of the given trigonometric expression. <strong>Use the figure below to find the exact value of the given trigonometric expression.     5 12 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)   <strong>Use the figure below to find the exact value of the given trigonometric expression.     5 12 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)   5 12
(figure not necessarily to scale)

A) <strong>Use the figure below to find the exact value of the given trigonometric expression.     5 12 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)
B) <strong>Use the figure below to find the exact value of the given trigonometric expression.     5 12 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)
C) <strong>Use the figure below to find the exact value of the given trigonometric expression.     5 12 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)
D) <strong>Use the figure below to find the exact value of the given trigonometric expression.     5 12 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)
E) <strong>Use the figure below to find the exact value of the given trigonometric expression.     5 12 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)
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56
Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent. <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)

A) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)
B) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)
C) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)
D) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)
E) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.  </strong> A)   B)   C)   D)   E)
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57
If  <strong>If   , use trigonometric substitution to write   as a trigonometric function of F \theta , where   .</strong> A)   B)   C)   D)   E)    , use trigonometric substitution to write  <strong>If   , use trigonometric substitution to write   as a trigonometric function of F \theta , where   .</strong> A)   B)   C)   D)   E)    as a trigonometric function of F θ\theta , where  <strong>If   , use trigonometric substitution to write   as a trigonometric function of F \theta , where   .</strong> A)   B)   C)   D)   E)    .

A)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of F \theta , where   .</strong> A)   B)   C)   D)   E)
B)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of F \theta , where   .</strong> A)   B)   C)   D)   E)
C)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of F \theta , where   .</strong> A)   B)   C)   D)   E)
D)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of F \theta , where   .</strong> A)   B)   C)   D)   E)
E)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of F \theta , where   .</strong> A)   B)   C)   D)   E)
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58
Use the product-to-sum formula to write the given product as a sum or difference. <strong>Use the product-to-sum formula to write the given product as a sum or difference.  </strong> A)   B)   C)   D)   E)

A) <strong>Use the product-to-sum formula to write the given product as a sum or difference.  </strong> A)   B)   C)   D)   E)
B) <strong>Use the product-to-sum formula to write the given product as a sum or difference.  </strong> A)   B)   C)   D)   E)
C) <strong>Use the product-to-sum formula to write the given product as a sum or difference.  </strong> A)   B)   C)   D)   E)
D) <strong>Use the product-to-sum formula to write the given product as a sum or difference.  </strong> A)   B)   C)   D)   E)
E) <strong>Use the product-to-sum formula to write the given product as a sum or difference.  </strong> A)   B)   C)   D)   E)
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59
Find the exact value of <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   given that <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   and <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   . (Both u and v are in Quadrant II.)

A) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)
B) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)
C) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)
D) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)
E) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)
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60
Solve the multiple-angle equation. <strong>Solve the multiple-angle equation.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the multiple-angle equation.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the multiple-angle equation.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the multiple-angle equation.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the multiple-angle equation.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the multiple-angle equation.  </strong> A)   B)   C)   D)   E)
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61
Find the exact solutions of the given equation in the interval <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   . <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)

A) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
B) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
C) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
D) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
E) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
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62
Which of the following is equivalent to the given expression? <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)

A) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)
B) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)
C) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)
D) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)
E) <strong>Which of the following is equivalent to the given expression?  </strong> A)   B)   C)   D)   E)
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63
Find all solutions of the given equation in the interval <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   . <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)

A) <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
B) <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
C) <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
D) <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
E) <strong>Find all solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
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64
Find the exact value of the given expression. <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)

A) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)
B) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)
C) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)
D) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)
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65
Find the exact value of <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   given that <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   and <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   . (Both u and v are in Quadrant II.)

A) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)
B) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)
C) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)
D) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)
E) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)
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66
Use a graphing utility to determine which of the trigonometric functions is equal to the following expression. <strong>Use a graphing utility to determine which of the trigonometric functions is equal to the following expression.  </strong> A)   B)   C)   D)   E)   4

A) <strong>Use a graphing utility to determine which of the trigonometric functions is equal to the following expression.  </strong> A)   B)   C)   D)   E)   4
B) <strong>Use a graphing utility to determine which of the trigonometric functions is equal to the following expression.  </strong> A)   B)   C)   D)   E)   4
C) <strong>Use a graphing utility to determine which of the trigonometric functions is equal to the following expression.  </strong> A)   B)   C)   D)   E)   4
D) <strong>Use a graphing utility to determine which of the trigonometric functions is equal to the following expression.  </strong> A)   B)   C)   D)   E)   4
E) <strong>Use a graphing utility to determine which of the trigonometric functions is equal to the following expression.  </strong> A)   B)   C)   D)   E)   4 4
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67
Use the figure below to find the exact value of the given trigonometric expression. <strong>Use the figure below to find the exact value of the given trigonometric expression.     8 15 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)   <strong>Use the figure below to find the exact value of the given trigonometric expression.     8 15 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)   8 15
(figure not necessarily to scale)

A) <strong>Use the figure below to find the exact value of the given trigonometric expression.     8 15 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)
B) <strong>Use the figure below to find the exact value of the given trigonometric expression.     8 15 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)
C) <strong>Use the figure below to find the exact value of the given trigonometric expression.     8 15 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)
D) <strong>Use the figure below to find the exact value of the given trigonometric expression.     8 15 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)
E) <strong>Use the figure below to find the exact value of the given trigonometric expression.     8 15 (figure not necessarily to scale)</strong> A)   B)   C)   D)   E)
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68
Find the exact value of the given expression using a sum or difference formula. <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)

A) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)
B) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)
C) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)
D) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)
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69
Write the given expression as the cosine of an angle. <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)

A) <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)
B) <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)
C) <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)
D) <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)
E) <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)
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70
If  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta  , where   .</strong> A)   B)   C)   D)   E)    , use trigonometric substitution to write  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta  , where   .</strong> A)   B)   C)   D)   E)    as a trigonometric function of θ\theta , where  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta  , where   .</strong> A)   B)   C)   D)   E)    .

A)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta  , where   .</strong> A)   B)   C)   D)   E)
B)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta  , where   .</strong> A)   B)   C)   D)   E)
C)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta  , where   .</strong> A)   B)   C)   D)   E)
D)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta  , where   .</strong> A)   B)   C)   D)   E)
E)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta  , where   .</strong> A)   B)   C)   D)   E)
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71
Find the exact value of the given expression. <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   E)
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72
Find the exact solutions of the given equation in the interval <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   . <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)

A) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
B) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
C) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
D) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
E) <strong>Find the exact solutions of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
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73
Find the exact value of the given expression using a sum or difference formula. <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)

A) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)
B) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)
C) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)
D) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)
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74
Write the given expression as an algebraic expression. <strong>Write the given expression as an algebraic expression.  </strong> A)   B)   C)   D)   E)

A) <strong>Write the given expression as an algebraic expression.  </strong> A)   B)   C)   D)   E)
B) <strong>Write the given expression as an algebraic expression.  </strong> A)   B)   C)   D)   E)
C) <strong>Write the given expression as an algebraic expression.  </strong> A)   B)   C)   D)   E)
D) <strong>Write the given expression as an algebraic expression.  </strong> A)   B)   C)   D)   E)
E) <strong>Write the given expression as an algebraic expression.  </strong> A)   B)   C)   D)   E)
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75
Write the given expression as the sine of an angle. <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)

A) <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)
B) <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)
C) <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)
D) <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)
E) <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)
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76
Use the half-angle formulas to determine the exact value of the given trigonometric expression. <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression.  </strong> A)   B)   C)   D)   E)

A) <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression.  </strong> A)   B)   C)   D)   E)
B) <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression.  </strong> A)   B)   C)   D)   E)
C) <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression.  </strong> A)   B)   C)   D)   E)
D) <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression.  </strong> A)   B)   C)   D)   E)
E) <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression.  </strong> A)   B)   C)   D)   E)
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77
Find the exact value of the given expression. <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)

A) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)
B) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)
C) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)
D) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)
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78
If  <strong>If   , use trigonometric substitution to write   as a trigonometric function of \theta  , where   .</strong> A)   B)   C)   D)   E)    , use trigonometric substitution to write  <strong>If   , use trigonometric substitution to write   as a trigonometric function of \theta  , where   .</strong> A)   B)   C)   D)   E)    as a trigonometric function of θ\theta , where  <strong>If   , use trigonometric substitution to write   as a trigonometric function of \theta  , where   .</strong> A)   B)   C)   D)   E)    .

A)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of \theta  , where   .</strong> A)   B)   C)   D)   E)
B)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of \theta  , where   .</strong> A)   B)   C)   D)   E)
C)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of \theta  , where   .</strong> A)   B)   C)   D)   E)
D)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of \theta  , where   .</strong> A)   B)   C)   D)   E)
E)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of \theta  , where   .</strong> A)   B)   C)   D)   E)
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79
Use the product-to-sum formula to write the given product as a sum or difference. <strong>Use the product-to-sum formula to write the given product as a sum or difference.  </strong> A)   B)   C)   D)   E)

A) <strong>Use the product-to-sum formula to write the given product as a sum or difference.  </strong> A)   B)   C)   D)   E)
B) <strong>Use the product-to-sum formula to write the given product as a sum or difference.  </strong> A)   B)   C)   D)   E)
C) <strong>Use the product-to-sum formula to write the given product as a sum or difference.  </strong> A)   B)   C)   D)   E)
D) <strong>Use the product-to-sum formula to write the given product as a sum or difference.  </strong> A)   B)   C)   D)   E)
E) <strong>Use the product-to-sum formula to write the given product as a sum or difference.  </strong> A)   B)   C)   D)   E)
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80
If  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta  , where   .</strong> A)   B)   C)   D)   E)    , use trigonometric substitution to write  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta  , where   .</strong> A)   B)   C)   D)   E)    as a trigonometric function of θ\theta , where  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta  , where   .</strong> A)   B)   C)   D)   E)    .

A)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta  , where   .</strong> A)   B)   C)   D)   E)
B)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta  , where   .</strong> A)   B)   C)   D)   E)
C)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta  , where   .</strong> A)   B)   C)   D)   E)
D)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta  , where   .</strong> A)   B)   C)   D)   E)
E)  <strong>If   , use trigonometric substitution to write   as a trigonometric function of  \theta  , where   .</strong> A)   B)   C)   D)   E)
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