Quiz 4: Trigonometric Functions
Mathematics
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A
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Q 20Q 20
Convert the radian measure to degree measure. Use the value of found on a calculator and round answers to two
decimal places.

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Q 21Q 21
Convert the radian measure to degree measure. Use the value of found on a calculator and round answers to two
decimal places.

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Q 22Q 22
Convert the radian measure to degree measure. Use the value of found on a calculator and round answers to two
decimal places.

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Q 23Q 23
Convert the radian measure to degree measure. Use the value of found on a calculator and round answers to two
decimal places.

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Q 24Q 24
Convert the radian measure to degree measure. Use the value of found on a calculator and round answers to two
decimal places.

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Q 25Q 25
Convert the radian measure to degree measure. Use the value of found on a calculator and round answers to two
decimal places.

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Q 50Q 50
Find the exact values of the indicated trigonometric functions. Write fractions in lowest terms.

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Q 51Q 51
Find the exact values of the indicated trigonometric functions. Write fractions in lowest terms.

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Q 52Q 52
Find the exact values of the indicated trigonometric functions. Write fractions in lowest terms.

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Q 53Q 53
Find the exact values of the indicated trigonometric functions. Write fractions in lowest terms.

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Q 54Q 54
Find the exact values of the indicated trigonometric functions. Write fractions in lowest terms.

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Q 55Q 55
Assume that is an acute angle in a right triangle satisfying the given conditions. Evaluate the indicated trigonometric
function.

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Q 56Q 56
Assume that is an acute angle in a right triangle satisfying the given conditions. Evaluate the indicated trigonometric
function.

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Q 57Q 57
Assume that is an acute angle in a right triangle satisfying the given conditions. Evaluate the indicated trigonometric
function.

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Q 58Q 58
Assume that is an acute angle in a right triangle satisfying the given conditions. Evaluate the indicated trigonometric
function.

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Q 59Q 59
Assume that is an acute angle in a right triangle satisfying the given conditions. Evaluate the indicated trigonometric
function.

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Q 60Q 60
Assume that is an acute angle in a right triangle satisfying the given conditions. Evaluate the indicated trigonometric
function.

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Q 61Q 61
Assume that is an acute angle in a right triangle satisfying the given conditions. Evaluate the indicated trigonometric
function.

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Q 62Q 62
Assume that is an acute angle in a right triangle satisfying the given conditions. Evaluate the indicated trigonometric
function.

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Q 63Q 63
Assume that is an acute angle in a right triangle satisfying the given conditions. Evaluate the indicated trigonometric
function.

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Q 64Q 64
Assume that is an acute angle in a right triangle satisfying the given conditions. Evaluate the indicated trigonometric
function.

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Q 82Q 82
Use a calculator to evaluate the function. Round your answer to 4 decimal places.
cos 0.2626
A) 1.035
B) 0.9657
C) 0.2596
D) 0.2688
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Q 83Q 83
Use a calculator to evaluate the function. Round your answer to 4 decimal places.
tan 0.1345
A) 0.1341
B) 0.1353
C) 1.009
D) 0.9910
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Q 112Q 112
Solve the problem.
From a distance of 43 feet from the base of a building, the angle of elevation to the top of the building is 67Â°. Estimate the height of the building to the nearest foot.
A) 101 feet
B) 40 feet
C) 18 feet
D) 17 feet
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Q 113Q 113
Solve the problem.
From a distance of 1215 feet from a spotlight, the angle of elevation to a cloud base is 41Â°. Find the height of the cloud base to the nearest foot.
A) 797 feet
B) 917 feet
C) 1398 feet
D) 1056 feet
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Q 114Q 114
Solve the problem.
A kite is currently flying at an altitude of 14 meters above the ground. If the angle of elevation from the ground to the kite is 34Â°, find the length of the kite string to the nearest meter.
A) 21 meters
B) 8 meters
C) 17 meters
D) 25 meters
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Q 115Q 115
Solve the problem.
A police helicopter is monitoring the speed of two cars on a straight road. The helicopter is at an altitude of 4000 feet directly above the road. At one instant, the angle of elevation from the first car to the helicopter is 21Â°, and
The angle of elevation from the second car to the helicopter is 17Â°. How far apart are the two cars to the nearest
Foot?
A) 2520 feet
B) 2663 feet
C) 313 feet
D) 102 feet
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Q 118Q 118
Solve the problem.
A school building has a height of 47 feet. Its shadow is currently 13.6 feet long, and the shadow of the church next door is 19.8 feet long. Use similar triangles to calculate the height of the church to the nearest tenth of a
Foot.
A) 12,656.2 feet
B) 32.3 feet
C) 57.3 feet
D) 68.4 feet
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Q 119Q 119
Find the measures of two angles, one positive and one negative, that are coterminal with the given angle.

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Q 120Q 120
Find the measures of two angles, one positive and one negative, that are coterminal with the given angle.

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Q 121Q 121
Find the measures of two angles, one positive and one negative, that are coterminal with the given angle.

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Q 122Q 122
Find the measures of two angles, one positive and one negative, that are coterminal with the given angle.

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Q 123Q 123
Find the measures of two angles, one positive and one negative, that are coterminal with the given angle.

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Q 124Q 124
Find the measures of two angles, one positive and one negative, that are coterminal with the given angle.

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Q 125Q 125
Find the measures of two angles, one positive and one negative, that are coterminal with the given angle.

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Q 133Q 133
Point P is on the terminal side of
. Evaluate the six trigonometric functions for
. If the function is undefined, write
"undefined."

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Q 134Q 134
Point P is on the terminal side of
. Evaluate the six trigonometric functions for
. If the function is undefined, write
"undefined."

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Q 135Q 135
Point P is on the terminal side of
. Evaluate the six trigonometric functions for
. If the function is undefined, write
"undefined."

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Q 136Q 136
Point P is on the terminal side of
. Evaluate the six trigonometric functions for
. If the function is undefined, write
"undefined."

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Q 137Q 137
Point P is on the terminal side of
. Evaluate the six trigonometric functions for
. If the function is undefined, write
"undefined."

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Q 138Q 138
Point P is on the terminal side of
. Evaluate the six trigonometric functions for
. If the function is undefined, write
"undefined."

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Q 139Q 139
Point P is on the terminal side of
. Evaluate the six trigonometric functions for
. If the function is undefined, write
"undefined."

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Q 140Q 140
Point P is on the terminal side of
. Evaluate the six trigonometric functions for
. If the function is undefined, write
"undefined."

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Q 141Q 141
Point P is on the terminal side of
. Evaluate the six trigonometric functions for
. If the function is undefined, write
"undefined."

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Q 142Q 142
Point P is on the terminal side of
. Evaluate the six trigonometric functions for
. If the function is undefined, write
"undefined."

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Q 143Q 143
Determine whether the given function is positive or negative for values of t in the specified quadrant.

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Q 144Q 144
Determine whether the given function is positive or negative for values of t in the specified quadrant.

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Q 145Q 145
Determine whether the given function is positive or negative for values of t in the specified quadrant.

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Q 146Q 146
Determine whether the given function is positive or negative for values of t in the specified quadrant.

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Q 147Q 147
Determine whether the given function is positive or negative for values of t in the specified quadrant.

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Q 148Q 148
Determine whether the given function is positive or negative for values of t in the specified quadrant.

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Q 149Q 149
Determine whether the given function is positive or negative for values of t in the specified quadrant.

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Q 150Q 150
Determine whether the given function is positive or negative for values of t in the specified quadrant.

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Q 151Q 151
Determine whether the given function is positive or negative for values of t in the specified quadrant.

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Q 152Q 152
Determine whether the given function is positive or negative for values of t in the specified quadrant.

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Q 153Q 153
Determine the sign (positive or negative) of the given value without use of a calculator.

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Q 154Q 154
Determine the sign (positive or negative) of the given value without use of a calculator.

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Q 155Q 155
Determine the sign (positive or negative) of the given value without use of a calculator.

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Q 156Q 156
Determine the sign (positive or negative) of the given value without use of a calculator.

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Q 157Q 157
Determine the sign (positive or negative) of the given value without use of a calculator.

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Q 158Q 158
Determine the sign (positive or negative) of the given value without use of a calculator.

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Q 159Q 159
Determine the sign (positive or negative) of the given value without use of a calculator.

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Q 160Q 160
Determine the sign (positive or negative) of the given value without use of a calculator.

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Q 161Q 161
Determine the sign (positive or negative) of the given value without use of a calculator.

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Q 162Q 162
Determine the sign (positive or negative) of the given value without use of a calculator.

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Q 192Q 192
Evaluate the trigonometric function of the given quadrantal angle. If the value is undefined, write "undefined."

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Q 193Q 193
Evaluate the trigonometric function of the given quadrantal angle. If the value is undefined, write "undefined."

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Q 194Q 194
Evaluate the trigonometric function of the given quadrantal angle. If the value is undefined, write "undefined."

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Q 195Q 195
Evaluate the trigonometric function of the given quadrantal angle. If the value is undefined, write "undefined."

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Q 196Q 196
Evaluate the trigonometric function of the given quadrantal angle. If the value is undefined, write "undefined."

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Q 197Q 197
Evaluate the trigonometric function of the given quadrantal angle. If the value is undefined, write "undefined."

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Q 198Q 198
Evaluate the trigonometric function of the given quadrantal angle. If the value is undefined, write "undefined."

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Q 199Q 199
Evaluate the trigonometric function of the given quadrantal angle. If the value is undefined, write "undefined."

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Q 223Q 223
Find the value of the unique real number between 0 and 2 that satisfies the given conditions.

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Q 224Q 224
Find the value of the unique real number between 0 and 2 that satisfies the given conditions.

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Q 225Q 225
Find the value of the unique real number between 0 and 2 that satisfies the given conditions.

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Q 226Q 226
Find the value of the unique real number between 0 and 2 that satisfies the given conditions.

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Q 227Q 227
Find the value of the unique real number between 0 and 2 that satisfies the given conditions.

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Q 228Q 228
Find the value of the unique real number between 0 and 2 that satisfies the given conditions.

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Q 229Q 229
Find the value of the unique real number between 0 and 2 that satisfies the given conditions.

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Q 230Q 230
Find the value of the unique real number between 0 and 2 that satisfies the given conditions.

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Q 231Q 231
Find the value of the unique real number between 0 and 2 that satisfies the given conditions.

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Q 232Q 232
Find the value of the unique real number between 0 and 2 that satisfies the given conditions.

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Q 238Q 238
Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x).

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Q 239Q 239
Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x).

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Q 240Q 240
Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x).

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Q 241Q 241
Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x).

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Q 242Q 242
Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x).

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Q 243Q 243
Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x).

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Q 244Q 244
Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x).

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Q 245Q 245
Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x).

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Q 246Q 246
Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x).

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Q 247Q 247
Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x).

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Q 265Q 265
Identify the maximum and minimum values of the function in the interval [, 2]. Use your understanding of
transformations, not your graphing calculator.

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Q 266Q 266
Identify the maximum and minimum values of the function in the interval [, 2]. Use your understanding of
transformations, not your graphing calculator.

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Q 267Q 267
Identify the maximum and minimum values of the function in the interval [, 2]. Use your understanding of
transformations, not your graphing calculator.

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Q 268Q 268
Identify the maximum and minimum values of the function in the interval [, 2]. Use your understanding of
transformations, not your graphing calculator.

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Q 269Q 269
Identify the maximum and minimum values of the function in the interval [, 2]. Use your understanding of
transformations, not your graphing calculator.

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Q 281Q 281
Write an equation for a sine curve that has the given amplitude and period, and which passes through the given point.

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Q 282Q 282
Write an equation for a sine curve that has the given amplitude and period, and which passes through the given point.

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Q 283Q 283
Write an equation for a sine curve that has the given amplitude and period, and which passes through the given point.

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Q 284Q 284
Write an equation for a sine curve that has the given amplitude and period, and which passes through the given point.

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Q 316Q 316
Write the word or phrase that best completes each statement or answers the question.
Analyze the function for domain, range, continuity, symmetry, boundedness, extrema, asymptotes, and end behavior.
f(x) = sec 2x
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Q 317Q 317
Write the word or phrase that best completes each statement or answers the question.
Analyze the function for domain, range, continuity, symmetry, boundedness, extrema, asymptotes, and end behavior.
f(x) =  tan x
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Q 318Q 318
Write the word or phrase that best completes each statement or answers the question.
Analyze the function for domain, range, continuity, symmetry, boundedness, extrema, asymptotes, and end behavior.
f(x) = 2 csc (x/2)
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Q 319Q 319
Write the word or phrase that best completes each statement or answers the question.
Analyze the function for domain, range, continuity, symmetry, boundedness, extrema, asymptotes, and end behavior.
f(x) =  2 cot x
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Q 320Q 320
Choose the one alternative that best completes the statement or answers the question.
Describe the transformation required to obtain the graph of the given function from the basic trigonometric graph.
y = 2 tan x
A) Vertical stretch by a factor of 2
B) Horizontal stretch by a factor of 2
C) Vertical translation down 2 units
D) Vertical translation up 2 units
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Q 321Q 321
Choose the one alternative that best completes the statement or answers the question.
Describe the transformation required to obtain the graph of the given function from the basic trigonometric graph.
y = cot x
A) Vertical translation up 1 unit
B) Reflection across the xaxis and the yaxis
C) Vertical translation down 1 unit
D) Reflection across the xaxis
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Q 322Q 322
Choose the one alternative that best completes the statement or answers the question.
Describe the transformation required to obtain the graph of the given function from the basic trigonometric graph.

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Q 323Q 323
Choose the one alternative that best completes the statement or answers the question.
Describe the transformation required to obtain the graph of the given function from the basic trigonometric graph.
y = csc x  2
A) Vertical translation down 2 units
B) Horizontal translation to the right 2 units
C) Vertical stretch by a factor of 2
D) Vertical translation up 2 units
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Q 324Q 324
Choose the one alternative that best completes the statement or answers the question.
Describe the transformation required to obtain the graph of the given function from the basic trigonometric graph.

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Q 325Q 325
Choose the one alternative that best completes the statement or answers the question.
Describe the transformation required to obtain the graph of the given function from the basic trigonometric graph.

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Q 326Q 326
Choose the one alternative that best completes the statement or answers the question.
Describe the transformation required to obtain the graph of the given function from the basic trigonometric graph.
y = 8sec x
A) Reflection across the yaxis and horizontal stretch by a factor of 8
B) Reflection across the xaxis and vertical translation up 8 units
C) Reflection across the xaxis and vertical stretch by a factor of 8
D) Reflection across the xaxis and horizontal stretch by a factor of 8
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Q 327Q 327
Choose the one alternative that best completes the statement or answers the question.
Describe the transformation required to obtain the graph of the given function from the basic trigonometric graph.

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Q 358Q 358
Find approximate solutions for the equation in the interval  < x < . Round to three decimal places.

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Q 359Q 359
Find approximate solutions for the equation in the interval  < x < . Round to three decimal places.

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Q 360Q 360
Find approximate solutions for the equation in the interval  < x < . Round to three decimal places.

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Q 361Q 361
Find approximate solutions for the equation in the interval  < x < . Round to three decimal places.

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Q 362Q 362
Find approximate solutions for the equation in the interval  < x < . Round to three decimal places.

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Q 403Q 403
Find a, b, and h so that f(x) a sin (b(x  h)). Round to two decimal places if necessary.

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Q 404Q 404
Find a, b, and h so that f(x) a sin (b(x  h)). Round to two decimal places if necessary.

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Q 405Q 405
Find a, b, and h so that f(x) a sin (b(x  h)). Round to two decimal places if necessary.

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Q 406Q 406
Find a, b, and h so that f(x) a sin (b(x  h)). Round to two decimal places if necessary.

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Q 407Q 407
Find a, b, and h so that f(x) a sin (b(x  h)). Round to two decimal places if necessary.

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Q 431Q 431
Use a calculator to find the approximate value. Express your answer in degrees rounded to two decimal places.

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Q 432Q 432
Use a calculator to find the approximate value. Express your answer in degrees rounded to two decimal places.

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Q 433Q 433
Use a calculator to find the approximate value. Express your answer in degrees rounded to two decimal places.

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Q 434Q 434
Use a calculator to find the approximate value. Express your answer in degrees rounded to two decimal places.

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Q 435Q 435
Use a calculator to find the approximate value. Express your answer in degrees rounded to two decimal places.

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Q 436Q 436
Use a calculator to find the approximate value. Express your answer in degrees rounded to two decimal places.

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Q 437Q 437
Use a calculator to find the approximate value. Express your answer in degrees rounded to two decimal places.

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Q 438Q 438
Use a calculator to find the approximate value. Express your answer in degrees rounded to two decimal places.

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Q 439Q 439
Use a calculator to find the approximate value. Express your answer in degrees rounded to two decimal places.

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Q 440Q 440
Use a calculator to find the approximate value. Express your answer in degrees rounded to two decimal places.

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Multiple Choice
Q 441Q 441
Use a calculator to find the approximate value of the expression. Express your answer in radians and round to three
decimal places.

Free
Multiple Choice
Q 442Q 442
Use a calculator to find the approximate value of the expression. Express your answer in radians and round to three
decimal places.

Free
Multiple Choice
Q 443Q 443
Use a calculator to find the approximate value of the expression. Express your answer in radians and round to three
decimal places.

Free
Multiple Choice
Q 444Q 444
Use a calculator to find the approximate value of the expression. Express your answer in radians and round to three
decimal places.

Free
Multiple Choice
Free
Multiple Choice
Free
Multiple Choice
Free
Multiple Choice
Free
Multiple Choice
Free
Multiple Choice
Free
Multiple Choice
Free
Multiple Choice
Free
Multiple Choice
Free
Multiple Choice