Deck 5: Trigonometric Functions

Question 1

Perform the calculation.

Answer 1

C

Question 2

Provide an appropriate response.
Find the supplement of an angle whose measure is 74°57′.

Answer 2

C

Question 3

Perform the calculation.

Answer 3

C

Question 4

Provide an appropriate response.
Find the complement of an angle whose measure is 39°17′.

Question 5

Provide an appropriate response.
Find the supplement of an angle whose measure is 37°43′15′′

Question 6

Find the measure of each angle in the problem.

Question 7

Provide an appropriate response.
Find the supplement of an angle whose measure is 89°.

Question 8

Find the measure of each angle in the problem.

Question 9

Provide an appropriate response.
Find the supplement of an angle whose measure is 155°.

Question 10

Perform the calculation.

Question 11

Provide an appropriate response.
Find the complement of an angle whose measure is 36°27′56′′.

Question 12

Perform the calculation.

Question 13

Find the measure of each angle in the problem.

Question 14

Find the measure of each angle in the problem.

Question 15

Perform the calculation.

Question 16

Find the measure of each angle in the problem.
Supplementary angles with measures 2x + 6 and 3x - 1 degrees

Question 17

Find the measure of each angle in the problem.

Question 18

Provide an appropriate response.

Question 19

Find the measure of each angle in the problem.
Complementary angles with measures 2x and 7x - 9 degrees

Question 20

Find the measure of each angle in the problem.

Question 21

Convert the angle to degrees, minutes, and seconds.

Question 22

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

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

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

Question 26

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

Question 27

Convert the angle to degrees, minutes, and seconds.

Question 28

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

Question 29

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

Question 30

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

Question 31

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

Question 32

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

Question 33

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

Question 34

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

Question 35

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

Question 36

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

Question 37

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

Question 38

Convert the angle to degrees, minutes, and seconds.

Question 39

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

Question 40

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

Question 41

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 42

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 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

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 45

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 46

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 47

Solve the problem.

Question 48

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

Question 49

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

Question 50

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

Question 51

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 52

Solve the problem.
A wheel makes 234 revolutions per minute. How many revolutions does it make per second?

A) 1404 revolutions per second
B) 3.9 revolutions per second
C) 7.8 revolutions per second
D) 2.34 revolutions per second

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

Question 56

Solve the problem.

Question 57

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

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

Question 59

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 60

Solve the problem.

Question 61

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

Question 62

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

Question 63

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

Question 64

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

Question 65

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

Question 66

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

Question 67

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

Question 68

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

Question 69

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

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

Question 71

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.

Question 72

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.

Question 73

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

Question 74

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

Question 75

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

Question 76

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

Question 77

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

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

Question 79

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

Question 80

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