Deck 14: Trigonometry Formerly

Question 1

Convert the angle to degrees, minutes, and seconds.
46.87°

A)46°52'87''
B)46°52'0''
C)46°52'12''
D)46°52'18''

Answer 1

C

Question 2

Supplement of 66°

A)294°
B)132°
C)114°
D)24°

Answer 2

C

Question 3

Complement of 36°

A)324°
B)144°
C)54°
D)72°

Answer 3

C

Question 4

Perform the calculation.
90° - 32°17'41''

A)57°43'19''
B)57°42'19''
C)57°42'18''
D)58°43'19''

Question 5

Perform the calculation.
180° - 23°31'27''

A)157°29'33''
B)157°28'33''
C)156°29'33''
D)156°28'33''

Question 6

Convert the angle to decimal degrees and round to the nearest hundredth of a degree.
337°18'37''

A)337.27
B)337.32
C)337.31
D)337.37

Question 7

Convert the angle to decimal degrees and round to the nearest hundredth of a degree.
53°58'12''

A)53.98
B)53.93
C)53.97
D)54.03

Question 8

Complement of 82.1°

A)97.9°
B)187.9°
C)7.9°
D)277.9°

Question 9

Convert the angle to decimal degrees and round to the nearest hundredth of a degree.
356°49'41''

A)356.79
B)356.84
C)356.89
D)356.83

Question 10

Perform the calculation.
92°27' - 28°38'

A)63°49'
B)120°65'
C)64°11'
D)64°38'

Question 11

Perform the calculation.
90° - 44°25'

A)46°25'
B)46°35'
C)45°35'
D)45°25'

Question 12

Perform the calculation.
85°46' + 30°58'

A)116°104'
B)45°104'
C)45°44'
D)116°44'

Question 13

Convert the angle to decimal degrees and round to the nearest hundredth of a degree.
97°17'13''

A)97.30
B)97.29
C)97.25
D)97.35

Question 14

Supplement of 4.2°

A)85.8°
B)355.8°
C)130.8°
D)175.8°

Question 15

Question 16

Convert the angle to decimal degrees and round to the nearest hundredth of a degree.
135°18'28''

A)135.32
B)135.31
C)135.37
D)135.27

Question 17

Convert the angle to decimal degrees and round to the nearest hundredth of a degree.
31°41'

A)31.82°
B)31.41°
C)32.68°
D)31.68°

Question 18

Convert the angle to degrees, minutes, and seconds.
105.89°

A)105°54'24''
B)105°53'24''
C)105°53'89''
D)105°51'89''

Question 19

Convert the angle to decimal degrees and round to the nearest hundredth of a degree.
177°44'9''

A)177.80
B)177.75
C)177.70
D)177.74

Question 20

Supplement of 68°

A)112°
B)157°
C)292°
D)202°

Question 21

Find the angle of smallest possible positive measure coterminal with the given angle.
409°

A)204.5°
B)39°
C)229°
D)49°

Question 22

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.
50°

Question 23

Find the angle of smallest possible positive measure coterminal with the given angle.
859°

A)489°
B)129°
C)499°
D)139°

Question 24

Find the angle of smallest possible positive measure coterminal with the given angle.
-212°

A)-32°
B)148°
C)212°
D)328°

Question 25

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.
160°

Question 26

Give an expression that generates all angles coterminal with the given angle. Let n represent any integer.
-86°

A)-86° + 2n · 360°
B)-86° + n · 180°
C)-86° + n · 360°
D)-86° - n · 180°

Question 27

Convert the angle to degrees, minutes, and seconds.
246.06°

A)246°3'36''
B)246°35'6''
C)246°3'6''
D)246°4'35''

Question 28

Convert the angle to degrees, minutes, and seconds.
108.26°

A)108°15'40''
B)108°28'26''
C)108°15'36''
D)108°15'28''

Question 29

Give an expression that generates all angles coterminal with the given angle. Let n represent any integer.
207°

A)207° + n · 360°
B)207° + n · 90°
C)207° + n · 180°
D)207° + 2n

Question 30

Find the angle of smallest possible positive measure coterminal with the given angle.
-40°

A)320°
B)50°
C)40°
D)230°

Question 31

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.
10°

Question 32

Convert the angle to degrees, minutes, and seconds.
56.73°

A)56°43'48''
B)56°43'38''
C)56°53'38''
D)56°53'48''

Question 33

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.
65°

Question 34

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.
20°

Question 35

Give an expression that generates all angles coterminal with the given angle. Let n represent any integer.
8°

A)8° + n · 360°
B)8° + n · 720°
C)8° + n · 90°
D)8° + n · 180°

Question 36

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.
130°

Question 37

Give an expression that generates all angles coterminal with the given angle. Let n represent any integer.
-285°

A)-285° + n · 180°
B)-285° + n · 90°
C)-285° + 2n
D)-285° + n · 360°

Question 38

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.
115°

Question 39

Convert the angle to degrees, minutes, and seconds.
246.63°

A)246°37'48''
B)246°38'47''
C)246°47'63''
D)246°37'63''

Question 40

Find the angle of smallest possible positive measure coterminal with the given angle.
1326°

A)246°
B)606°
C)156°
D)66°

Question 41

P = (1, 3)

Question 42

State in which quadrant the terminal side of the given angle lies.
98°

A)III
B)I
C)II
D)IV

Question 43

State in which quadrant the terminal side of the given angle lies.
-337°

A)IV
B)II
C)III
D)I

Question 44

State in which quadrant the terminal side of the given angle lies.
1293°

A)I
B)II
C)III
D)IV

Question 45

State in which quadrant the terminal side of the given angle lies.
-671°

A)III
B)IV
C)I
D)II

Question 46

P = (4, -2)

Question 47

State in which quadrant the terminal side of the given angle lies.
218°28'

A)II
B)IV
C)I
D)III

Question 48

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.
-85°

Question 49

State in which quadrant the terminal side of the given angle lies.
-92.2°

A)II
B)III
C)I
D)IV

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.
170°

Question 51

P = (-1, -3)

Question 52

State in which quadrant the terminal side of the given angle lies.
-195.4°

A)IV
B)I
C)III
D)II

Question 53

Question 54

P = (-4, 2)

Question 55

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.
295°

Question 56

State in which quadrant the terminal side of the given angle lies.
856°

A)I
B)II
C)IV
D)III

Question 57

Question 58

Question 59

State in which quadrant the terminal side of the given angle lies.
-7.8°

A)II
B)IV
C)I
D)III

Question 60

State in which quadrant the terminal side of the given angle lies.
322°25'35''

A)II
B)IV
C)I
D)III

Question 61

Suppose that the point (x, y)is in the indicated quadrant. Decide whether the given ratio is positive or negative.

A)Positive
B)Negative

Question 62

Suppose that the point (x, y)is in the indicated quadrant. Decide whether the given ratio is positive or negative.

Question 63

Suppose that the point (x, y)is in the indicated quadrant. Decide whether the given ratio is positive or negative.

Question 64

Find the exact function value if it exists.
sin 90°

A)Undefined
B)1
D)0

Question 65

(0, -1); find tan 

A)0
B)Undefined
C)1
D)-1

Question 66

Suppose that the point (x, y)is in the indicated quadrant. Decide whether the given ratio is positive or negative.

Question 67

Question 68

Suppose that the point (x, y)is in the indicated quadrant. Decide whether the given ratio is positive or negative.

Question 69

Question 70

Find the exact function value if it exists.
cot (-90°)

A)-1
B)Undefined
D)0

Question 71

Suppose that the point (x, y)is in the indicated quadrant. Decide whether the given ratio is positive or negative.

Question 72

Find the exact function value if it exists.
sin 270°

A)0
C)Undefined
D)-1

Question 73

Question 74

Suppose that the point (x, y)is in the indicated quadrant. Decide whether the given ratio is positive or negative.

A)Positive
B)Negative

Question 75

Question 76

Question 77

Question 78

Find the exact function value if it exists.
csc 0°

A)1
B)2
C)Undefined
D)0

Question 79

Suppose that the point (x, y)is in the indicated quadrant. Decide whether the given ratio is positive or negative.

Question 80

Suppose that the point (x, y)is in the indicated quadrant. Decide whether the given ratio is positive or negative.
III, xr

A)Positive
B)Negative