Deck 6: Trigonometric Functions

Question 1

Find the measure of each angle in the problem.

Answer 1

D

Question 2

Perform the calculation.

Answer 2

A

Question 3

Perform the calculation.

Answer 3

A

Question 4

Find the measure of each angle in the problem.

Question 5

Find the measure of each angle in the problem.

Question 6

Find the measure of each angle in the problem.

Question 7

Find the measure of each angle in the problem.

Question 8

Provide an appropriate response.

Question 9

Find the measure of each angle in the problem.

Question 10

Provide an appropriate response.

Question 11

Perform the calculation.

Question 12

Provide an appropriate response.
Find the complement of an angle whose measure is .

Question 13

Perform the calculation.

Question 14

Provide an appropriate response.
Find the complement of an angle whose measure is 8°.

A) 82°
B) 98°
C) 8°
D) 172°

Question 15

Perform the calculation.

Question 16

Find the measure of each angle in the problem.

Question 17

Provide an appropriate response.
Find the supplement of an angle whose measure is 58°.

A) 32°
B) 238°
C) 122°
D) 148°

Question 18

Provide an appropriate response.
Find the supplement of an angle whose measure is 117°. 3)

A) -27°
B) 297°
C) 63°
D) 207°

Question 19

Provide an appropriate response.

Question 20

Find the measure of each angle in the problem.

Question 21

Find the angle of least positive measure coterminal with the given angle.

Question 22

Find the angle of least positive measure coterminal with the given angle.

Question 23

Convert the angle to decimal degrees and round to the nearest hundredth of a degree.

Question 24

Convert the angle to degrees, minutes, and seconds.

Question 25

Convert the angle to degrees, minutes, and seconds.

Question 26

Find the angle of least positive measure coterminal with the given angle.

Question 27

Convert the angle to decimal degrees and round to the nearest hundredth of a degree.

Question 28

Give an expression that generates all angles coterminal with the given angle. Let n represent any integer.

Question 29

Convert the angle to decimal degrees and round to the nearest hundredth of a degree.

Question 30

Give an expression that generates all angles coterminal with the given angle. Let n represent any integer.

Question 31

Convert the angle to decimal degrees and round to the nearest hundredth of a degree.

Question 32

Give an expression that generates all angles coterminal with the given angle. Let n represent any integer.

Question 33

Give an expression that generates all angles coterminal with the given angle. Let n represent any integer.

Question 34

Find the angle of least positive measure coterminal with the given angle.

Question 35

Convert the angle to degrees, minutes, and seconds.

Question 36

Find the angle of least positive measure coterminal with the given angle.

Question 37

Convert the angle to decimal degrees and round to the nearest hundredth of a degree.

Question 38

Convert the angle to decimal degrees and round to the nearest hundredth of a degree.

Question 39

Convert the angle to decimal degrees and round to the nearest hundredth of a degree.

Question 40

Convert the angle to degrees, minutes, and seconds.

Question 41

Solve the problem.

Question 42

Answer: C
8
Sketch an angle in standard position such that has the least positive measure and the given point is on the terminal
side of

Question 43

Draw the given angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measure
of two other angles, one positive and one negative, coterminal with the given angle.

Question 44

Answer: C
8
Sketch an angle in standard position such that has the least positive measure and the given point is on the terminal
side of

Question 45

Answer: C
8
Sketch an angle in standard position such that has the least positive measure and the given point is on the terminal
side of

Question 46

Solve the problem.
A wheel is rotating 600 times per minute. Through how many degrees does a point on the edge of the wheel move in seconds?

A) 1350°
B) 1800°
C) 450°
D) 60°

Question 47

Draw the given angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measure
of two other angles, one positive and one negative, coterminal with the given angle.

Question 48

Solve the problem.
Find the measure of the smaller angle formed by the hands of the clock shown.

A) 150°
B) 110°
C) 120°
D) 60°

Question 49

Draw the given angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measure
of two other angles, one positive and one negative, coterminal with the given angle.

Question 50

Draw the given angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measure
of two other angles, one positive and one negative, coterminal with the given angle.

Question 51

Answer: C
8
Sketch an angle in standard position such that has the least positive measure and the given point is on the terminal
side of

Question 52

Draw the given angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measure
of two other angles, one positive and one negative, coterminal with the given angle.

Question 53

Draw the given angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measure
of two other angles, one positive and one negative, coterminal with the given angle.

Question 54

Draw the given angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measure
of two other angles, one positive and one negative, coterminal with the given angle.

Question 55

Solve the problem.
A wheel makes 282 revolutions per minute. How many revolutions does it make per second?

A) 2.82 revolutions per second
B) 9.4 revolutions per second
C) 4.7 revolutions per second
D) 1692 revolutions per second

Question 56

Draw the given angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measure
of two other angles, one positive and one negative, coterminal with the given angle.

Question 57

Answer: C
8
Sketch an angle in standard position such that has the least positive measure and the given point is on the terminal
side of

Question 58

Draw the given angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measure
of two other angles, one positive and one negative, coterminal with the given angle.

Question 59

Answer: C
8
Sketch an angle in standard position such that has the least positive measure and the given point is on the terminal
side of

Question 60

Draw the given angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measure
of two other angles, one positive and one negative, coterminal with the given angle.

Question 61

An equation of the terminal side of an angle in standard position is given along with a restriction on x. Find the
indicated trigonometric function value of . Do not use a calculator.

Question 62

Suppose that is in standard position and the given point is on the terminal side of . Give the exact value of the
indicated trig function for

Question 63

An equation of the terminal side of an angle in standard position is given along with a restriction on x. Find the
indicated trigonometric function value of . Do not use a calculator.

Question 64

Suppose that is in standard position and the given point is on the terminal side of . Give the exact value of the
indicated trig function for

Question 65

If r is a positive number and the point (x, y) is in the indicated quadrant, decide whether the given ratio is positive or
negative.

A) Positive
B) Negative

Question 66

Answer: C
8
Sketch an angle in standard position such that has the least positive measure and the given point is on the terminal
side of

Question 67

Suppose that is in standard position and the given point is on the terminal side of . Give the exact value of the
indicated trig function for

Question 68

An equation of the terminal side of an angle in standard position is given along with a restriction on x. Find the
indicated trigonometric function value of . Do not use a calculator.

Question 69

Answer: C
8
Sketch an angle in standard position such that has the least positive measure and the given point is on the terminal
side of

Question 70

If r is a positive number and the point (x, y) is in the indicated quadrant, decide whether the given ratio is positive or
negative.

A) Positive
B) Negative

Question 71

Suppose that is in standard position and the given point is on the terminal side of . Give the exact value of the
indicated trig function for

Question 72

Suppose that is in standard position and the given point is on the terminal side of . Give the exact value of the
indicated trig function for

Question 73

Suppose that is in standard position and the given point is on the terminal side of . Give the exact value of the
indicated trig function for

Question 74

An equation of the terminal side of an angle in standard position is given along with a restriction on x. Find the
indicated trigonometric function value of . Do not use a calculator.

Question 75

If r is a positive number and the point (x, y) is in the indicated quadrant, decide whether the given ratio is positive or
negative.

A) Negative
B) Positive

Question 76

An equation of the terminal side of an angle in standard position is given along with a restriction on x. Find the
indicated trigonometric function value of . Do not use a calculator.

Question 77

Answer: C
8
Sketch an angle in standard position such that has the least positive measure and the given point is on the terminal
side of

Question 78

Answer: C
8
Sketch an angle in standard position such that has the least positive measure and the given point is on the terminal
side of

Question 79

Suppose that is in standard position and the given point is on the terminal side of . Give the exact value of the
indicated trig function for

Question 80

An equation of the terminal side of an angle in standard position is given along with a restriction on x. Find the
indicated trigonometric function value of . Do not use a calculator.