Question 1

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-Discuss the methods used to verify an identity and why you would choose a particular method.

Accepted Answer

The answer of Write the word or phrase that best...

Question 2

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-What is wrong with this problem? "Find cos s if sec  and s is in quadrant III."

Accepted Answer

The answer of Write the word or phrase that best...

Question 3

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-Why is it not possible to find a formula for tan (

Accepted Answer

The answer of Write the word or phrase that best...

Question 4

Solve the problem.
-Consider the formula T = 591 - 76 cos  is measured in degrees. To the nearest hundredth of a degree, what is the smallest positive value of  for which the value of T will be 607?
A) 48.08°
B) 105.16°
C) 102.16°
D) 51.08°

Accepted Answer

The answer of Solve the problem.
-Consider the formula T =...

Question 5

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-A problem is given: "Find cos s if sec s = -  ." Why is it not necessary to give the quadrant of s in order to solve
the problem?

Accepted Answer

The answer of Write the word or phrase that best...

Question 6

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-A student claims that the equation tan  is an identity, since by letting  = 0° we get 0 + 1 = 1, a true
statement. Comment on this student's reasoning.

Accepted Answer

The answer of Write the word or phrase that best...

Question 7

Solve the problem.
-The output voltage for an AC generator is approximated by v = 156 cos  Find the smallest positive value of t for which the output is 76 volts.
A) t = 0.0056
B) t = 0.0122
C) t = 0.0046
D) t = 0.0112

Accepted Answer

The answer of Solve the problem.
-The output voltage for an...

Question 8

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-When does cot x =

Accepted Answer

The answer of Write the word or phrase that best...

Question 9

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-What happens when you try to evaluate  ?

Accepted Answer

The answer of Write the word or phrase that best...

Question 10

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-How does the graph of y = cos (-x) compare to that of y = cos x?

Accepted Answer

The answer of Write the word or phrase that best...

Question 11

Solve the problem.
-It can be shown that if the angle of elevation from an observer to the top of an object is A and the angle of elevation d ft closer is B, then the height of the object is given by  Find A if h = 50 ft, d = 80 ft, and B = 22°. Give your answer in degrees to the nearest hundredth.
A) 18.96°
B) 13.79°
C) 16.41°
D) 11.11°

Accepted Answer

The answer of Solve the problem.
-It can be shown that...

Question 12

Solve the problem.
-The area of a triangle is given by  where a and b are the lengths of two of the sides and C is the included angle. If A =  a = 5 in., b = 8 in., and C is an acute angle, what must C be? Give your answer in degrees to the nearest hundredth.
A) 108.19°
B) 71.81°
C) 35.90°
D) No such triangle exists.

Accepted Answer

The answer of Solve the problem.
-The area of a triangle...

Question 13

Solve the problem.
-Snell's Law states that  where  are the speeds at which light travels through two different mediums, and  are the angles of incidence and refraction respectively. Find the angle of refraction if  and the angle of
Incidence is 30°. Give your answer in degrees to the nearest hundredth.
A) 53.13°
B) 8.99°
C) 18.21°
D) 5.98°

Accepted Answer

The answer of Solve the problem.
-Snell's Law states that ...

Question 14

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-Suppose someone tells you that the cosine of the difference of two angles is the difference of their cosines. Write
in your own words how you would correct the person's statement.

Accepted Answer

The answer of Write the word or phrase that best...

Quiz 6: Trigonometric Identities and Conditional Equations

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Discuss the methods used to verify an identity and why you would choose a particular method.

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -What is wrong with this problem? "Find cos s if sec and s is in quadrant III."

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Why is it not possible to find a formula for tan (

Solve the problem. -Consider the formula T = 591 - 76 cos is measured in degrees. To the nearest hundredth of a degree, what is the smallest positive value of for which the value of T will be 607?

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -A problem is given: "Find cos s if sec s = - ." Why is it not necessary to give the quadrant of s in order to solve the problem?

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -A student claims that the equation tan is an identity, since by letting = 0° we get 0 + 1 = 1, a true statement. Comment on this student's reasoning.

Solve the problem. -The output voltage for an AC generator is approximated by v = 156 cos Find the smallest positive value of t for which the output is 76 volts.

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -When does cot x =

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -What happens when you try to evaluate ?

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -How does the graph of y = cos (-x) compare to that of y = cos x?

Solve the problem. -It can be shown that if the angle of elevation from an observer to the top of an object is A and the angle of elevation d ft closer is B, then the height of the object is given by Find A if h = 50 ft, d = 80 ft, and B = 22°. Give your answer in degrees to the nearest hundredth.

Solve the problem. -The area of a triangle is given by where a and b are the lengths of two of the sides and C is the included angle. If A = a = 5 in., b = 8 in., and C is an acute angle, what must C be? Give your answer in degrees to the nearest hundredth.

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Suppose someone tells you that the cosine of the difference of two angles is the difference of their cosines. Write in your own words how you would correct the person's statement.