1

Multiple Select

Which of the following is a point on the unit circle? #20

(Check all that apply)

1

$\left(1,\ 1\right)$

2

$\left(-1,\ 0\right)$

3

$\left(\frac{1}{\sqrt{2}},\ \frac{1}{\sqrt{2}}\right)$

4

$\left(\frac{1}{\sqrt{5}},-\frac{2}{\sqrt{5}}\right)$

2

Multiple Choice

Find the equivalent value for $\cot\ -300\degree.$ #19

1

$-\cot60\degree$

2

$\frac{1}{\tan\ 60\degree}$

3

$\frac{1}{\tan300\degree}$

4

$\cot120\degree$

3

Multiple Choice

Evaluate $\sin\left(\frac{23\pi}{6}\right)$ . #15

1

$-\frac{\sqrt{3}}{2}$

2

$\frac{\sqrt{3}}{3}$

3

$-\frac{1}{2}$

4

$\sqrt{3}$

4

Multiple Choice

Evaluate $\tan\left(\frac{7\pi}{6}\right)$ . #14

1

$-\frac{\sqrt{3}}{2}$

2

$\frac{\sqrt{3}}{3}$

3

$-\frac{1}{2}$

4

$\sqrt{3}$

5

Multiple Choice

What is tan 45°? #5

1

2

^√2/₂

3

^√3/₂

4

½

6

Multiple Choice

What is cos 60°? #1

1

½

2

^√3/₂

3

^√2/₂

4

1

7

Multiple Choice

What is sin 45°? #2

1

2

^√3/₂

3

½

4

^√2/₂

8

Evaluate Cosine

Cos(angle) = x-coordinate of point
Cosine is positive in the FIRST and FOURTH quadrants.
Cosine is negative in the SECOND and THIRD quadrants.
cos(2π/3) = -1/2
cos(270°) = 0
cos(π/6) = √3/2

9

Evaluate Sine

Sin(angle) = y-coordinate of point
Sine is positive in the FIRST and SECOND quadrants.
Sine is negative in the THIRD and FOURTH quadrants.
sin(135°) = √2/2
sin(4π/3) = -√3/2
sin(0) = 0

10

Evaluate Tangent

Tan(angle) = y-coordinate/x-coordinate
Tangent is positive in the FIRST and THIRD quadrants.
Tangent is negative in the SECOND and FOURTH quadrants.
tan(90°) = 1/0 = UNDEFINED
tan(π) = 0/-1 = 0
tan(240°) = (-√3/2)/(-1/2)
=(-√3/2) *(-2/1) = √3/1 = √3

11

12

Multiple Choice

What is the correct ordered pair for an angle rotation of $150\degree$ ? #21

1

$\left(\frac{\sqrt{3}}{2},\frac{1}{2}\right)$

2

$\left(\frac{-\sqrt{3}}{2},\ \frac{1}{2}\right)$

3

$\left(\frac{-\sqrt{3}}{2},\frac{-1}{2}\right)$

4

$\left(\frac{\sqrt{3}}{2},\frac{-1}{2}\right)$

13

Multiple Choice

What are the exact coordinates of 3π/4 on the unit circle?

(Multiply by $\frac{\pi}{180}$ to get degrees) #37

1

(−√2∕2, √2∕2)

2

(−√2∕2, −√2∕2)

3

(−√3∕2, −√2∕2)

4

(√2∕2, −√2∕2)

14

Match

Match the following angles measured in radians to degrees. #41

$90\degree$

$180\degree$

$30\degree$

$45\degree$

$60\degree$

$\frac{\pi}{2}$

$\pi$

$\frac{\pi}{6}$

$\frac{\pi}{4}$

$\frac{\pi}{3}$

15

Match

Match the correct value of the trigonometric ratios of special angles. #42

$\frac{\sqrt[]{2}}{2}$

$\frac{\sqrt[]{3}}{2}$

$\frac{\sqrt[]{3}}{3}$

$\frac{1}{2}$

$\sin\frac{\pi}{4}$

$\cos\frac{\pi}{6}$

$\tan\frac{\pi}{6}$

$\cos\frac{\pi}{3}$

$\sin\frac{\pi}{6}$

16

Multiple Choice

What is $\sec\left(\frac{7\pi}{4}\right)$ ? #7

1

$\frac{\sqrt{2}}{2}$

2

$\sqrt{2}$

3

$-\frac{\sqrt{2}}{2}$

4

$-\sqrt{2}$

17

Multiple Choice

Find the sin(-9π/4). #8

1

-√3/2

2

-1/2

3

√2/2

4

-√2/2

18

Multiple Choice

What is the csc (7π/6)? #10

1

-2

2

3

-1/2

4

1/2

19

Multiple Choice

cosθ is positive in

1

the 1st and 2nd quadrants

2

the 1st and 3rd quadrants

3

the 1st and 4th quadrants

4

the 2nd and 3rd quadrants

20

Multiple Choice

Positive angles are measured in which direction from standard position?

1

Clockwise

2

Counterclockwise

21

Multiple Choice

$\csc\left(\theta\right)=......$

1

$\frac{1}{\sin\left(\theta\right)}$

2

$\frac{1}{\cos\left(\theta\right)}$

3

$\frac{1}{\tan\left(\theta\right)}$

4

$\frac{1}{\cot\left(\theta\right)}$

22

Multiple Choice

$\sec\left(\theta\right)=......$

1

$\frac{1}{\sin\left(\theta\right)}$

2

$\frac{1}{\cos\left(\theta\right)}$

3

$\frac{1}{\tan\left(\theta\right)}$

4

$\frac{1}{\cot\left(\theta\right)}$

23

Multiple Choice

$\cot\left(\theta\right)=......$

1

$\frac{1}{\sin\left(\theta\right)}$

2

$\frac{1}{\cos\left(\theta\right)}$

3

$\frac{1}{\tan\left(\theta\right)}$

4

$\frac{1}{\cot\left(\theta\right)}$

24

Multiple Choice

What is the reference angle for 125°?

1

235°

2

125°

3

75°

4

55°

25

Multiple Choice

What are the negative and positive coterminal angles of 240 degrees?

1

540°, -120°

2

600°, -120°

3

425°, -240°

4

120°, -135°

26

Fill in the Blank

P(-3,4) is a terminal point of angle X in standard position. What is the value of sinX?

Type your answer in the boxes

27

Fill in the Blank

CscX = 3. What does SinX = ?

Type your answer in the boxes

28

Multiple Choice

The x-coordinate in the unit circle?

1

sine

2

cosine

3

tangent

4

no answer

29

Multiple Choice

The y-coordinate in the unit circle?

1

sine

2

cosine

3

tangent

4

no answer

30

Multiple Choice

Identify what quadrant shows the signs of a trigonometric functions:

sin θ: +

tan θ: +

1

Quadrant I

2

Quadrant II

3

Quadrant III

4

Quadrant IV

31

Multiple Choice

Identify what quadrant shows the signs of a trigonometric functions:

cos θ: -

tan θ: -

1

Quadrant I

2

Quadrant II

3

Quadrant III

4

Quadrant IV

32

Multiple Choice

Identify what quadrant shows the signs of a trigonometric functions:

sin θ: -

cos θ: -

1

Quadrant I

2

Quadrant II

3

Quadrant III

4

Quadrant IV

33

Multiple Choice

Identify what quadrant shows the signs of a trigonometric functions:

sin θ: -

tan θ: -

1

Quadrant I

2

Quadrant II

3

Quadrant III

4

Quadrant IV

34

Multiple Choice

A = $\frac{\pi}{6}$ corresponds to the point (x, y) = ( $\frac{\sqrt{3}}{2},\frac{1}{2}$ ). Find tan A.

1

$\sqrt{3}$

2

$\frac{2\sqrt{3}}{3}$

3

$2$

4

$\frac{\sqrt{3}}{3}$

35

Multiple Choice

A = $\frac{\pi}{6}$ corresponds to the point (x, y) = ( $\frac{\sqrt{3}}{2},\frac{1}{2}$ ). Find cot A.

1

$\sqrt{3}$

2

$\frac{2\sqrt{3}}{3}$

3

$2$

4

$\frac{\sqrt{3}}{3}$

36

Multiple Choice

A = $\frac{\pi}{6}$ corresponds to the point (x, y) = ( $\frac{\sqrt{3}}{2},\frac{1}{2}$ ). Find csc A.

1

$\sqrt{3}$

2

$\frac{2\sqrt{3}}{3}$

3

$2$

4

$\frac{\sqrt{3}}{3}$

37

Multiple Choice

A = $\frac{\pi}{6}$ corresponds to the point (x, y) = ( $\frac{\sqrt{3}}{2},\frac{1}{2}$ ). Find sec A.

1

$\sqrt{3}$

2

$\frac{2\sqrt{3}}{3}$

3

$2$

4

$\frac{\sqrt{3}}{3}$

38

Multiple Choice

B = $\pi$ corresponds to the point (x, y) = ( $-1,\ 0$ ). Find csc B.

1

$-1$

2

$0$

3

$1$

4

$undefined$

39

Multiple Choice

B = $\pi$ corresponds to the point (x, y) = ( $-1,\ 0$ ). Find sec B.

1

$-1$

2

$0$

3

$1$

4

$undefined$

40

Multiple Choice

B = $\pi$ corresponds to the point (x, y) = ( $-1,\ 0$ ). Find tan B.

1

$-1$

2

$0$

3

$1$

4

$undefined$

41

Multiple Choice

C = $\frac{5\pi}{4}$ corresponds to the point (x, y) = ( $-\frac{\sqrt{2}}{2},-\frac{\sqrt{2}}{2}$ ). Find tan C.

1

$-\sqrt{2}$

2

$-1$

3

$1$

4

$-\frac{\sqrt{2}}{2}$

42

Multiple Choice

C = $\frac{5\pi}{4}$ corresponds to the point (x, y) = ( $-\frac{\sqrt{2}}{2},-\frac{\sqrt{2}}{2}$ ). Find csc C.

1

$-\sqrt{2}$

2

$-1$

3

$1$

4

$-\frac{\sqrt{2}}{2}$

43

Multiple Choice

cos(60°)

1

0

2

1/2

3

√3/2

4

1

44

Multiple Choice

cos 150^o

1

-1/2

2

1/2

3

√3/2

4

-√3/2

45

Multiple Choice

sin 7π/6

1

1/2

2

-1/2

3

√3/2

4

-√3/2

46

Multiple Choice

What is the radius of a unit circle?

1

2

3

1/2

4

0

47

Multiple Choice

What is the exact value of sin 150°

1

-1/2

2

-√3/2

3

1/2

4

√3/2

48

Multiple Choice

What are the coordinates of 60° on the unit circle?

1

(0, 1)

2

(1/2, √3/2)

3

(√3/2, 1/2)

4

(√2/2, 1/2)

49

Multiple Choice

sinθ is positive in

1

the 1st and 2nd quadrants

2

the 1st and 3rd quadrants

3

the 1st and 4th quadrants

4

the 2nd and 3rd quadrants

50

Multiple Choice

cosθ is positive in

1

the 1st and 2nd quadrants

2

the 1st and 3rd quadrants

3

the 1st and 4th quadrants

4

the 2nd and 3rd quadrants

51

Multiple Choice

What is cos 90°?

1

½

2

undefined

3

1

4

0

52

Multiple Choice

What is the cos(7π/6)

1

_√3/2

2

-√3/2

3

-1/2

4

1/2

53

Multiple Choice

What is the csc (7π/6)

1

-2

2

3

-1/2

4

1/2

54

Multiple Choice

What is the tan(7π/6)

1

_√3

2

-√3/3

3

√3/3

4

1

55

Multiple Choice

Find the sin(-9π/4)

1

-√3/2

2

-1/2

3

√2/2

4

-√2/2

56

Multiple Choice

What is $\sec\left(\frac{7\pi}{4}\right)$ ?

1

$\frac{\sqrt{2}}{2}$

2

$\sqrt{2}$

3

$-\frac{\sqrt{2}}{2}$

4

$-\sqrt{2}$

57

Multiple Choice

What are the 3 basic trig functions?

1

Sine, cosine, and cotangent

2

Sine, cotangent, and cosecant

3

Sine, cosine, and tangent

4

Cosecant, cosine, and cotangent

58

Multiple Choice

How do sine, cosine, and tangent tell us about an angle?

1

They describe the angle measure in terms of the ratio of its corresponding sides

2

They tell us its measure in relationship to the other angles in the triangle

3

We can only use them if we know all side lengths

4

They describe the angle measure in terms of the product of its corresponding sides

59

Multiple Choice

What type of circle plays a large role in understanding trig functions?

1

An elliptic circle

2

The unit circle

3

The perfect circle

4

The Pythagorean circle

60

Multiple Choice

If I wanted to find the sine of an angle, what side lengths would I need to know?

1

base, hypotenuse

2

hypotenuse, adjacent

3

opposite, hypotenuse

4

adjacent, opposite

61

Multiple Choice

The cosine of an angle can be calculated by which expression?

1

$\frac{hypotenuse}{adjacent}$

2

$\frac{opposite}{adjacent}$

3

$\frac{adjacent}{hypotenuse}$

4

$\frac{adjacent}{opposite}$

62

Multiple Choice

What is the reciprocal of the sine function?

1

cosecant

2

cosine

3

secant

4

cotangent

63

Multiple Select

$\tan\left(\theta\right)$ of an angle, $\theta$ can be expressed as which of the following?

1

$\frac{opposite}{hypotenuse}$

2

$\frac{opposite}{adjacent}$

3

$\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}$

4

$\frac{hypotenuse}{adjacent}$

64

Multiple Choice

What is the sine of angle A?

1

\frac{45}{30}

2

$\frac{10\sqrt{7}}{30}$

3

$\frac{30}{10\sqrt{7}}$

4

$\frac{30}{45}$

65

Multiple Choice

True or False? Using the unit circle, the process for determining the sine/cosine of any angle is as follows:

Step one: Starting from (1,0) (1,0) move along the unit circle in the counterclockwise direction until the angle that is formed between your position, the origin, and the positive x-axis is equal to your angle. Step two:The sine of your angle is equal to the y-coordinate of your point, and cosine is equal to the x-coordinate.

1

True

2

False

66

Multiple Choice

What is the tangent of angle A?

1

.75

2

\frac{4}{3}

3

.8

4

$\frac{5}{4}$

67

Multiple Choice

1

-√3

2

√3 / 2

3

1 / 2

4

-1 / 2

68

Multiple Choice

1

Undefined

2

-1

3

0

4

1

69

Multiple Choice

1

-√3 / 2

2

-1 / 2

3

1 / 2

4

2√3 / 3

70

Multiple Choice

1

1 / 2

2

√3 / 2

3

-1 / 2

4

-√3 / 2

71

Multiple Choice

1

√3 / 2

2

-1 / 2

3

1 / 2

4

-√3 / 2

72

Multiple Choice

1

-2√3 / 3

2

-1 / 2

3

-√3 / 2

4

√3 / 3

73

Multiple Choice

1

-√3 / 3

2

√3

3

-√3

4

√3 / 3

74

Multiple Choice

225°=_____ radians?

1

π/6

2

π/4

3

5π/4

4

-π/6

75

Multiple Choice

What is the measure of half a circle in radians?

1

π/4

2

π

3

2π

4

π/2

76

Multiple Choice

4π/3 is equal to how many degrees?

1

60°

2

240°

3

300°

4

120°

77

Multiple Choice

1

√2

2

√2 / 2

3

1

4

1 / √2

78

Multiple Choice

Find x such that cot(x)=-√3 given that x must be between pi/2 and pi.

1

3pi/4

2

5pi/6

3

2pi/3

4

4pi/3

79

Multiple Choice

Find x such that csc(x) = 2 given that x must be between pi/2 and pi.

1

5pi/6

2

2pi/3

3

pi/6

4

3pi/4

80

Multiple Choice

Find x such that sec(x) = -√2 given that x must be between pi and 3pi/2.

1

5pi/4

2

7pi/6

3

4pi/3

4

pi

81

Multiple Choice

Find x such that cot(x) = 1 given that x must be between -pi and -pi/2.

1

-3pi/4

2

-7pi/6

3

-4pi/3

4

-pi

82

Multiple Choice

Find x such that sin(x) = 1 given that x must be between 0 and 2pi.

1

pi/2

2

pi

3

3pi/2

4

2pi

83

Multiple Choice

Find x such that cos(x) = 1 given that x must be between 0 and 2pi.

1

pi/2

2

pi

3

3pi/2

4

2pi

84

Multiple Choice

Find x such that cos(x) = -1 given that x must be between 0 and 2pi.

1

pi/2

2

pi

3

3pi/2

4

2pi

85

Multiple Choice

Find x such that sin(x) = -1 given that x must be between 0 and 2pi.

1

pi/2

2

pi

3

3pi/2

4

2pi

86

Multiple Choice

Which trigonometric ratio is it?

opposite leg/hypotenuse

1

sine

2

cosine

3

tangent

4

cotangent

87

Multiple Choice

Which trigonometric ratio is it?

adjacent leg/hypotenuse

1

sine

2

cosine

3

tangent

4

cotangent

88

Multiple Choice

Which trigonometric ratio is it?

adjacent leg/opposite leg

1

sine

2

cosine

3

tangent

4

cotangent

89

Multiple Choice

Which trigonometric ratio is it?

opposite leg/adjacent leg

1

sine

2

cosine

3

tangent

4

cotangent

90

Multiple Choice

Use the Unit Circle or Tangent Table to find the EXACT value of the indicated trigonometric function:

\cos\frac{5\pi}{6}

1

$1$

2

$-\frac{2}{\sqrt{3}}$

3

$\frac{\sqrt{2}}{2}$

4

$-\frac{\sqrt{3}}{2}$

91

Multiple Choice

Use the Unit Circle or Tangent Table to find the EXACT value of the indicated trigonometric function:

\cos150\degree

1

$1$

2

$-\frac{2}{\sqrt{3}}$

3

$\frac{\sqrt{2}}{2}$

4

$-\frac{\sqrt{3}}{2}$

92

Multiple Choice

Use the Unit Circle or Tangent Table to find the EXACT value of the indicated trigonometric function:

\sin45\degree

1

$1$

2

$-2$

3

$\frac{\sqrt{2}}{2}$

4

$\frac{\sqrt{3}}{3}$

93

Multiple Choice

Use the Unit Circle or Tangent Table to find the EXACT value of the indicated trigonometric function:

\cos\frac{3\pi}{2}

1

$1$

2

$0$

3

$\frac{1}{2}$

4

$-\frac{\sqrt{3}}{2}$

94

Multiple Choice

Use the Unit Circle or Tangent Table to find the EXACT value of the indicated trigonometric function:

\sin\frac{3\pi}{2}

1

$1$

2

$-1$

3

$\frac{\sqrt{2}}{2}$

4

$-2$

95

Multiple Choice

Use the Unit Circle or Tangent Table to find the EXACT value of the indicated trigonometric function:

\cot\frac{\pi}{3}

1

$1$

2

$-\frac{1}{2}$

3

$\frac{1}{2}$

4

$\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}$

96

Multiple Choice

Use the Unit Circle or Tangent Table to find the EXACT value of the indicated trigonometric function:

\sec30\degree

1

$\frac{2}{\sqrt{3}}$

2

$1$

3

$-2$

4

$\frac{\sqrt{3}}{3}$

97

Multiple Choice

Use the Unit Circle or Tangent Table to find the EXACT value of the indicated trigonometric function:

\cos0

1

$0$

2

$1$

3

$-1$

4

$\frac{1}{2}$

98

Multiple Choice

Use the Unit Circle or Tangent Table to find the EXACT value of the indicated trigonometric function:

\tan300\degree

1

$-\frac{2}{\sqrt{3}}$

2

$-\sqrt{3}$

3

$-\frac{1}{\sqrt{3}}=-\frac{\sqrt{3}}{3}$

4

$Undefined$

99

Multiple Choice

Use the Unit Circle or Tangent Table to find the EXACT value of the indicated trigonometric function:

\tan270\degree

1

$-\frac{2}{\sqrt{3}}$

2

$-\sqrt{3}$

3

$-\frac{1}{\sqrt{3}}=-\frac{\sqrt{3}}{3}$

4

$Undefined$

100

Multiple Choice

Use the Unit Circle or Tangent Table to find the EXACT value of the indicated trigonometric function:

\tan135\degree

1

$\sqrt{2}$

2

$\sqrt{3}$

3

$1$

4

$-1$

101

Multiple Choice

Use the Unit Circle or Tangent Table to find the EXACT value of the indicated trigonometric function:

\csc240\degree

1

$-\frac{2}{\sqrt{3}}$

2

$\sqrt{3}$

3

$-\frac{\sqrt{3}}{2}$

4

$-2$

102

Multiple Choice

Using the Unit Circle, find the exact value of this trig function.

1

2

0

3

-1

4

undefined

5

The correct answer is not listed

103

Multiple Choice

sin 0 =

1

0

2

¹/₂

3

^√2/₂

4

^√3/₂

5

1

104

Multiple Choice

Find sin(θ) given that the terminal side of θ contains the point (-19, 19).

1

$\frac{\sqrt{2}}{2}$

2

$-1$

3

$-\sqrt{2}$

4

$-\frac{\sqrt{2}}{19}$

105

Multiple Choice

Find sec(θ) given that the terminal side of θ contains the point $\left(\sqrt{5},2\right)$ .

1

$\frac{3\sqrt{5}}{5}$

2

$\frac{3}{2}$

3

$\frac{\sqrt{5}}{2}$

4

$-\frac{\sqrt{5}}{3}$

106

Multiple Choice

Find $\tan\left(\theta\right)$ given that $\sin\left(\theta\right)=-\frac{3}{5}$ and $\cos\left(\theta\right)>0$ .

1

$-\frac{3}{4}$

2

$\frac{4}{5}$

3

$\frac{4}{3}$

4

$-\frac{5}{3}$

107

Multiple Choice

Find $\csc\left(\theta\right)$ given that $\cos\left(\theta\right)=\frac{4\sqrt{17}}{17}$ and $\sin\left(\theta\right)<0$ .

1

$-\sqrt{17}$

2

$-4$

3

$\frac{1}{4}$

4

$\frac{\sqrt{17}}{17}$

108

Multiple Choice

Name the quadrant in which ∠A lies, if cosA > 0, sinA < 0

1

2

3

4

109

Multiple Choice

Name the quadrant in which ∠A lies, if tanA < 0, cosA < 0

1

4

2

3

2

4

1

110

Multiple Choice

What is the reference angle for -30°?

1

150°

2

30°

3

80°

4

60°

111

Multiple Choice

What is the reference angle for $\frac{4\pi}{3}$ ?

1

$\frac{\pi}{3}$

2

$\frac{\pi}{6}$

3

$\frac{\pi}{4}$

4

$\frac{7\pi}{6}$

112

Multiple Choice

1

-1 / 2

2

√3 / 2

3

-√3 / 2

4

1 / 2

113

Multiple Choice

Using reference angles, find the exact value of sin(300⁰).

1

1/2

2

-1/2

3

√3/2

4

-√3/2

114

Multiple Choice

Find a coterminal angle to -27°.

1

-387°

2

27°

3

323°

4

-393°

115

Multiple Choice

In which quadrant is -570⁰

1

I

2

II

3

III

4

IV

116

Multiple Choice

Convert 4π/ 3 radians in degrees

1

120

2

240

3

210

4

270

117

Multiple Select

For which angle(s) is the cosecant (csc) function undefined?

1

$0$

2

$\frac{\pi}{2}$

3

$\pi$

4

$\frac{3\pi}{2}$

5

$2\pi$

118

Multiple Choice

From your knowledge of the unit circle or the graphs y=sinx and y=cosx write down the value of cos(-π).

1

2

-1

3

0

4

√3/2

119

Multiple Choice

From your knowledge of the unit circle or the graphs y=sinx and y=cosx write down the value of sin(3π/2).

1

0

2

1

3

-1

4

√3/2

120

Multiple Choice

From your knowledge of the unit circle or the graphs y=sinx and y=cosx write down the value of cos (-π/2).

1

0

2

3

1

4

-2

121

Multiple Choice

State the exact value of the trigonometric function of the following angle on the unit circle.

\sin\ 210\degree

1

$-\frac{1}{2}$

2

$0$

3

$-\frac{\sqrt{2}}{2}$

4

$\frac{\sqrt{3}}{2}$

122

Multiple Choice

State the exact value of the trigonometric function of the following angle on the unit circle.

\cos\ \frac{3\pi}{4}

1

$-1$

2

$\frac{\sqrt{3}}{2}$

3

$-\frac{\sqrt{2}}{2}$

4

$-\frac{1}{2}$

123

Multiple Choice

State the exact value of the trigonometric function of the following angle on the unit circle.

\sin\ \frac{7\pi}{6}

1

$-\frac{\sqrt{3}}{2}$

2

$-\frac{1}{2}$

3

0

4

$-\frac{\sqrt{2}}{2}$

124

Multiple Choice

State the exact value of the trigonometric function of the following angle on the unit circle.

\sin\ \frac{3\pi}{2}

1

$\frac{\sqrt{2}}{2}$

2

$\frac{1}{2}$

3

-1

4

0

125

Multiple Choice

State the exact value of the trigonometric function of the following angle on the unit circle.

\cos\ 300\degree

1

$\frac{\sqrt{3}}{2}$

2

$1$

3

-1

4

$\frac{1}{2}$

126

Multiple Choice

State the exact value of the trigonometric function of the following angle on the unit circle.

\cos\ \frac{4\pi}{3}

1

$-\frac{\sqrt{2}}{2}$

2

$\frac{1}{2}$

3

$-\frac{1}{2}$

4

0

127

Multiple Choice

State the exact value of the trigonometric function of the following angle on the unit circle.

\cos\ \frac{7\pi}{4}

1

$\sqrt{3}$

2

$\frac{\sqrt{2}}{2}$

3

$-\frac{1}{2}$

4

$\frac{1}{2}$

128

Multiple Choice

State the exact value of the trigonometric function of the following angle on the unit circle.

\cos\ \ \frac{11\pi}{6}

1

$\frac{\sqrt{3}}{2}$

2

$-\frac{1}{2}$

3

$\frac{\sqrt{2}}{2}$

4

$-\frac{\sqrt{2}}{2}$

129

Multiple Choice

State the exact value of the trigonometric function of the following angle on the unit circle.

\sin\ \ \frac{\pi}{3}

1

-1

2

$\frac{1}{2}$

3

$\frac{\sqrt{3}}{2}$

4

$-\frac{\sqrt{2}}{2}$

130

Multiple Choice

State the exact value of the trigonometric function of the following angle on the unit circle.

\cos\ \ \pi

1

$\frac{1}{2}$

2

1

3

-1

4

$\frac{\sqrt{3}}{2}$

131

Match

Match the following angles measured in radians to degrees. #1

$90\degree$

$180\degree$

$30\degree$

$45\degree$

$60\degree$

$\frac{\pi}{2}$

$\pi$

$\frac{\pi}{6}$

$\frac{\pi}{4}$

$\frac{\pi}{3}$

132

Match

Match the correct value of the trigonometric ratios of special angles. #2

$\frac{\sqrt[]{2}}{2}$

$\frac{\sqrt[]{3}}{2}$

$\frac{\sqrt[]{3}}{3}$

$\frac{1}{2}$

$\sin\frac{\pi}{4}$

$\cos\frac{\pi}{6}$

$\tan\frac{\pi}{6}$

$\cos\frac{\pi}{3}$

$\sin\frac{\pi}{6}$

133

Multiple Choice

What are the exact coordinates of 3π/4 on the unit circle? #3

1

(−√2∕2, √2∕2)

2

(−√2∕2, −√2∕2)

3

(−√3∕2, −√2∕2)

4

(√2∕2, −√2∕2)

134

Multiple Choice

Evaluate the expression. $\tan\ \frac{\pi}{3}$ #4

1

$1$

2

$\frac{\sqrt[]{3}}{3}$

3

$\sqrt[]{3}$

4

$\frac{1}{2}$

135

Multiple Choice

Evaluate the expression. $\cot\ \pi$ #5

1

$1$

2

$0$

3

$-1$

4

undefined

136

Multiple Choice

Evaluate by using the Unit Circle. #6

$\tan\ 120\degree$

1

$-\frac{\sqrt[]{3}}{3}$

2

$-\ \sqrt[]{3}$

3

$\sqrt[]{3}$

4

$\frac{\sqrt[]{3}}{3}$

137

Multiple Choice

Evaluate the trigonometric function of the given quadrantal angle.

*Use coterminal angles and the Unit Circle.

$\sin\ \left(-3\pi\right)$ #7

1

$undefined$

2

$1$

3

$-1$

4

$0$

138

Multiple Choice

What is the coordinate for 30 degrees? #8

1

$\left(\frac{\sqrt[]{2}}{2},\frac{\sqrt[]{2}}{2}\right)$

2

$\left(\frac{1}{2},\frac{\sqrt[]{3}}{2}\right)$

3

$\left(\frac{\sqrt[]{3}}{2},\frac{1}{2}\right)$

4

$\left(1,0\right)$

139

Multiple Choice

What is the coordinate for 45 degrees? #9

1

$\left(\frac{1}{2},\frac{\sqrt[]{3}}{2}\right)$

2

$\left(\frac{\sqrt[]{3}}{2},\frac{1}{2}\right)$

3

$\left(\frac{-\sqrt[]{2}}{2},\frac{\sqrt[]{2}}{2}\right)$

4

$\left(\frac{\sqrt[]{2}}{2},\frac{\sqrt[]{2}}{2}\right)$

140

Multiple Choice

What is the coordinate for 180 degrees? #10

1

$\left(1,0\right)$

2

$\left(0,1\right)$

3

$\left(-1,0\right)$

4

$\left(0,-1\right)$

141

Multiple Choice

What is the coordinate for 240 degrees? #11

1

$\left(\frac{-1}{2},\ \frac{-\sqrt[]{3}}{2}\right)$

2

$\left(\frac{-\sqrt[]{2}}{2},\frac{-\sqrt[]{2}}{2}\right)$

3

$\left(\frac{-\sqrt[]{3}}{2},\ \frac{-1}{2}\right)$

4

$\left(-1,\ 0\right)$

142

Multiple Choice

What is the coordinate for 360 degrees? #12

1

$\left(-1,0\right)$

2

$\left(0,1\right)$

3

$\left(1,0\right)$

4

$\left(0,-1\right)$

143

Multiple Choice

What is the coordinate for –315 degrees? #13

1

$\left(\frac{1}{2},\ \frac{-\sqrt[]{3}}{2}\right)$

2

$\left(\frac{\sqrt[]{2}}{2},\ \frac{\sqrt[]{2}}{2}\right)$

3

$\left(\frac{\sqrt[]{3}}{2},\ \frac{-1}{2}\right)$

4

$\left(\frac{-\sqrt[]{2}}{2},\ \frac{-\sqrt[]{2}}{2}\right)$

144

Multiple Choice

What are the coordinates for $\frac{7\pi}{6}$ ? #14

1

$\left(\frac{1}{2},\ \frac{-\sqrt[]{3}}{2}\right)$

2

$\left(\frac{\sqrt[]{2}}{2},\ \frac{-\sqrt[]{2}}{2}\right)$

3

$\left(\frac{-\sqrt[]{3}}{2},\ \frac{-1}{2}\right)$

4

$\left(0,-1\right)$

145

Multiple Choice

$\sec\left(-210^o\right)$ #15

1

$\frac{\sqrt{3}}{2}$

2

$\frac{2}{\sqrt{3}}$

3

$-\frac{\sqrt{3}}{2}$

4

$\frac{-2}{\sqrt{3}}$

146

Multiple Choice

Find the exact value, if it exists $\cos\left(\frac{7\pi}{6}\right)$ . #16

1

Does not exist

2

$-\frac{\sqrt[]{3}}{2}$

3

$-\frac{\sqrt[]{3}}{3}$

4

$-\frac{\sqrt[]{2}}{2}$

147

Multiple Choice

Find the exact value of each trigonometric function:

$\csc270\degree$ #17

1

$-2$

2

$\frac{2}{\sqrt{3}}$

3

$0$

4

$-1$

148

Multiple Choice

Find the exact value of each trigonometric function:

$\csc30\degree$ #18

1

$\frac{\sqrt{3}}{3}$

2

$-\sqrt{2}$

3

$\frac{\sqrt{3}}{2}$

4

$2$

149

Multiple Choice

Find the exact value of each trigonometric function: #19

$\tan315\degree$

1

$\frac{\sqrt{2}}{2}$

2

$-\frac{\sqrt{2}}{2}$

3

$-\frac{\sqrt{3}}{2}$

4

$-1$

150

Multiple Choice

$Tan\ 60\degree$ #20

1

$\frac{\sqrt{3}}{3}$

2

$\frac{\sqrt{3}}{2}$

3

$1$

4

$\sqrt{3}$

151

Multiple Choice

$\cos\frac{5\pi}{6}$ #21

1

$-\frac{1}{2}$

2

$\frac{1}{2}$

3

$\frac{\sqrt[]{3}}{2}$

4

$-\frac{\sqrt[]{3}}{2}$

152

Multiple Choice

$\tan\ \frac{7\pi}{4}$ #22

1

-1

2

1

3

$\frac{\sqrt[]{2}}{2}$

4

undefined

153

Multiple Choice

$\cos\ \frac{4\pi}{3}$ #23

1

$-\frac{\sqrt[]{3}}{2}$

2

$\frac{\sqrt[]{3}}{2}$

3

$\frac{1}{2}$

4

$-\frac{1}{2}$

untitled

Evaluate Cosine

Evaluate Sine

Evaluate Tangent

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