Free Printable Review of Unit 2A so far (minus solving)

1.

What is the radius of the unit circle?

a)

0

b)

1

c)

1/2

d)

√2/2

2.

Convert 150⁰ to radians

a)

5π/6

b)

3π/4

c)

7π/6

d)

2π/3

3.

What is 7π/4 radians in degrees?

a)

300

b)

135

c)

315

d)

45

4.

Convert the following to degrees:
-8π/5 radians

a)

-288⁰

b)

-260⁰

c)

-275⁰

5.

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

a)

(−√2∕2, √2∕2)

b)

(−√2∕2, −√2∕2)

c)

(−√3∕2, −√2∕2)

d)

(√2∕2, −√2∕2)

6.

What quadrant is -2π/3 in?

a)

I

b)

II

c)

III

d)

IV

7.

tanθ is positive in

a)

the 1st and 2nd quadrants

b)

the 1st and 3rd quadrants

c)

the 1st and 4th quadrants

d)

the 2nd and 3rd quadrants

8.

sinθ is positive in

a)

the 1st and 2nd quadrants

b)

the 1st and 3rd quadrants

c)

the 1st and 4th quadrants

d)

the 2nd and 3rd quadrants

9.

cosθ is positive in

a)

the 1st and 2nd quadrants

b)

the 1st and 3rd quadrants

c)

the 1st and 4th quadrants

d)

the 2nd and 3rd quadrants

10.

What are the 3 basic trig functions?

a)

Sine, cosine, and cotangent

b)

Sine, cotangent, and cosecant

c)

Sine, cosine, and tangent

d)

Cosecant, cosine, and cotangent

11.

What is the reciprocal of the sine function?

a)

cosecant

b)

cosine

c)

secant

d)

cotangent

12.

What is the value of sine at 210°?

a)

1/2

b)

-1/2

c)

√3 / 2

d)

-√3 / 2

13.

What is the value of cosine at 135°?

a)

0

b)

1/2

c)

√2 /2

d)

-√2 /2

14.

Based on your unit circle cos(0^o)=

a)

1

b)

0

c)

-1

d)

1/2

15.

Based on your unit circle sin(90^o)=

a)

1/2

b)

0

c)

-1

d)

1

16.

cos(π)=

a)

0

b)

1

c)

-1

d)

1/2

17.

sin(π/6)

a)

1/2

b)

√2/2

c)

√3/2

d)

2

18.

What is the tan of 3π/2?

a)

-√3

b)

√3/3

c)

-1

d)

Undefined

19.

What is sin π/4?

a)

√2∕2

b)

1/2

c)

√3/2

d)

0

20.

Identify the Positive angle in both radians and degrees that represent point H.

a)

$150\degree,\ \frac{5\pi}{6}$

b)

$135\degree,\ \frac{3\pi}{4}$

c)

$180\degree,\ \pi$

d)

$210\degree,\ \frac{7\pi}{6}$

21.

Identify the Positive angle in both radians and degrees that represent point D.

a)

$60\degree,\ \frac{\pi}{3}$

b)

$45\degree,\ \frac{\pi}{4}$

c)

$-60\degree,\ -\frac{\pi}{3}$

d)

$90\degree,\ \frac{\pi}{2}$

22.

Identify the Positive angle in both radians and degrees that represent point L.

a)

$240\degree,\ \frac{4\pi}{3}$

b)

$225\degree,\ \frac{5\pi}{4}$

c)

$-60\degree,\ -\frac{\pi}{3}$

d)

$270\degree,\ \frac{3\pi}{2}$

23.

Identify the Positive angle in both radians and degrees that represent point I.

a)

$180\degree,\ \pi$

b)

$210\degree,\ \frac{7\pi}{6}$

c)

$150\degree,\ \frac{5\pi}{6}$

d)

$360\degree,\ 2\pi$

24.

Name the angle indicated by the graph in both radians and degrees.

a)

$-135\degree,\ -\frac{3\pi}{4}$

b)

$225\degree,\ \frac{5\pi}{4}$

c)

$-120\degree,\ -\frac{2\pi}{3}$

d)

$210\degree,\ \frac{7\pi}{6}$

25.

Name the angle that is coterminal to the angle indicated by the graph in both radians and degrees.

a)

$-135\degree,\ -\frac{3\pi}{4}$

b)

$225\degree,\ \frac{5\pi}{4}$

c)

$-120\degree,\ -\frac{2\pi}{3}$

d)

$210\degree,\ \frac{7\pi}{6}$

26.

Name the angle indicated by the graph in both radians and degrees.

a)

$300\degree,\ \frac{5\pi}{3}$

b)

$315\degree,\ \frac{7\pi}{4}$

c)

$-60\degree,\ -\frac{\pi}{3}$

d)

$-300\degree,\ -\frac{5\pi}{3}$

27.

Name the angle that is coterminal to the angle indicated by the graph in both radians and degrees.

a)

$300\degree,\ \frac{5\pi}{3}$

b)

$315\degree,\ \frac{7\pi}{4}$

c)

$-60\degree,\ -\frac{\pi}{3}$

d)

$-300\degree,\ -\frac{5\pi}{3}$

28.

Find the exact value of the trig ratio.
$\cos30\degree$

a)

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

b)

$\frac{1}{2}$

c)

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

d)

$-\frac{1}{2}$

29.

Find the exact value of the trig ratio.
$\sin180\degree$

a)

$0$

b)

$1$

c)

$\frac{1}{2}$

d)

$-1$

30.

Find the exact value of the trig ratio.
$\cos\left(-120\degree\right)$

a)

$-\frac{1}{2}$

b)

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

c)

$\frac{1}{2}$

d)

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

31.

Find the exact value of the trig ratio.
$\cos\left(\frac{5\pi}{3}\right)$

a)

$-\frac{1}{2}$

b)

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

c)

$\frac{1}{2}$

d)

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

32.

Find the exact value of the trig ratio.
$\cos\left(\frac{7\pi}{6}\right)$

a)

$-\frac{1}{2}$

b)

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

c)

$\frac{1}{2}$

d)

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

33.

Find the exact value of the trig ratio.
$\sin\left(-\frac{11\pi}{6}\right)$

a)

$-\frac{1}{2}$

b)

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

c)

$\frac{1}{2}$

d)

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

34.

csc 180^o

a)

0

b)

1

c)

-1

d)

und

35.

cot 450^o

a)

0

b)

1

c)

-1

d)

und

36.

cos 900^o

a)

1

b)

0

c)

-1

d)

und

37.

Find the exact value of each trigonometric function:

\tan270\degree

a)

$0$

b)

Undefined

c)

$-1$

d)

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

38.

Find the exact value of each trigonometric function:

\csc270\degree

a)

$-2$

b)

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

c)

$0$

d)

$-1$

39.

Find the exact value of each trigonometric function:

\csc30\degree

a)

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

b)

$-\sqrt{2}$

c)

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

d)

$2$

40.

Find the exact value of each trigonometric function:

\cot\frac{7\pi}{6}

a)

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

b)

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

c)

$-2$

d)

$\sqrt{3}$

41.

Find the exact value of each trigonometric function:

\sec300\degree

a)

$-2$

b)

$1$

c)

$\frac{1}{2}$

d)

$2$

42.

Find the exact value of each trigonometric function:

\sin30\degree

a)

$Undefined$

b)

$2$

c)

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

d)

$\frac{1}{2}$

43.

Find the exact value of each trigonometric function:

\sec150\degree

a)

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

b)

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

c)

$\sqrt{3}$

d)

$-2$

44.

Find the exact value of each trigonometric function:

\tan\frac{5\pi}{3}

a)

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

b)

$\frac{1}{2}$

c)

$-\sqrt{3}$

d)

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

45.

Find the exact value of each trigonometric function:

\tan315\degree

a)

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

b)

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

c)

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

d)

$-1$

46.

Find the exact value of each trigonometric function:

\csc\frac{\pi}{2}

a)

$\sqrt{2}$

b)

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

c)

$1$

d)

$2$

47.

Find the exact value of each trigonometric function:

\cot270\degree

a)

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

b)

$0$

c)

$-\sqrt{2}$

d)

$\sqrt{3}$

48.

Find the exact value of each trigonometric function:

\tan180\degree

a)

$-1$

b)

$0$

c)

$-\sqrt{3}$

d)

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

49.

How many degrees in a full circle?

a)

90°

b)

180°

c)

270°

d)

360°

50.

How many radians in a full circle?

a)

π/2

b)

π

c)

3π/2

d)

2π

51.

Angles are measured in which direction from standard position?

a)

Clockwise

b)

Counterclockwise

52.

135° is found in which quadrant?

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

53.

200° is found in which quadrant?

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

54.

90° is equal to how many radians?

a)

π/4

b)

π/2

c)

π

d)

2π

55.

270° is equal to how many radians?

a)

π

b)

π/3

c)

3π/4

d)

3π/2

56.

10π/9 is equal to how many degrees?

a)

100°

b)

140°

c)

190°

d)

200°

57.

Which of the following is coterminal to 45°?

a)

405°

b)

-300°

c)

415°

d)

-325°

58.

Find a coterminal angle to 5°.

a)

365°

b)

255°

c)

-220°

d)

-365°

59.

Find a coterminal angle to -90°.

a)

-450°

b)

90°

c)

180°

d)

-180°

60.

In which quadrant would you find an angle measuring -740°

a)

1

b)

2

c)

3

d)

4

61.

What are the negative and positive coterminal angles of 120°?

a)

420°, -240°

b)

480°, -240°

c)

300°, -360°

d)

0°, -250°

62.

Which of the following angles are co-terminal to $-\frac{\pi}{2}$ ?

a)

$\frac{3\pi}{2}$ , $\frac{-5\pi}{2}$

b)

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

c)

$\frac{5\pi}{2}$ , $\frac{-\pi}{2}$

d)

$\frac{5\pi}{2}$ , $-\frac{7\pi}{2}$

63.

Which of the following angles are co-terminal to $\frac{7\pi}{4}$ ?

a)

$-\frac{7\pi}{4}$ , $\frac{14\pi}{5}$

b)

$-\frac{5\pi}{4}$ , $\frac{19\pi}{4}$

c)

$\frac{11\pi}{4}$ , $\frac{-3\pi}{4}$

d)

$\frac{-1\pi}{4}$ , $\frac{15\pi}{4}$

64.

Which of the following angles are co-terminal to $\frac{5\pi}{6}$ ?

a)

$\frac{17\pi}{6}$ , $\frac{-7\pi}{6}$

b)

$-\frac{\pi}{6}$ , $\frac{11\pi}{6}$

c)

$\frac{23\pi}{6}$ , $\frac{-13\pi}{6}$

d)

$\frac{-5\pi}{6}$ , $\frac{7\pi}{6}$

65.

Which of the following angles are co-terminal to $\frac{13\pi}{6}$ ?

a)

$\frac{17\pi}{6}$ , $\frac{-7\pi}{6}$

b)

$-\frac{\pi}{6}$ , $\frac{11\pi}{6}$

c)

$\frac{25\pi}{6}$ , $\frac{-11\pi}{6}$

d)

$\frac{-25\pi}{6}$ , $\frac{7\pi}{6}$

66.

Find the reference angle for an angle measuring -300⁰

a)

60⁰

b)

-60⁰

c)

30⁰

d)

45⁰

67.

What is the reference angle for 240 degrees?

a)

60 degrees

b)

30 degrees

c)

45 degrees

d)

210 degrees

68.

What is the reference angle?

a)

115

b)

65

c)

25

d)

155

69.

What is the reference angle?

a)

163

b)

73

c)

27

d)

107

70.

What is the reference angle?

a)

347

b)

707

c)

13

d)

23

71.

What is the reference angle?

a)

112

b)

68

c)

158

d)

248

72.

Standard position is when .....

a)

the initial side of the angle is on the positive x-axis.

b)

the initial side of the angle is on the negative x-axis.

c)

the initial side of the angle is on the positive y-axis.

d)

the initial side of the angle is on the negative y-axis.

73.

What is positive in Q4?

a)

all trig functions

b)

sine

c)

cosine

d)

tangent

74.

Find a coterminal angle to -27°.

a)

-387°

b)

27°

c)

323°

d)

-393°

75.

To find an angle that is coterminal to a given angle, add or subtract _______________ and the given angle.

a)

$\pi$

b)

$\frac{\pi}{2}$

c)

$3\pi$

d)

$2\pi$

76.

To find an angle coterminal to $\frac{11\pi}{6}$ , add or subtract __________.

a)

$\frac{12\pi}{6}$

b)

$\frac{11\pi}{22}$

c)

$\frac{6\pi}{12}$

d)

$\frac{\pi}{6}$

77.

Are $-\frac{3\pi}{4}$ and $\frac{5\pi}{4}$ coterminal angles?

a)

Yes

b)

No

78.

Are $-\frac{13\pi}{6}$ and $\frac{5\pi}{6}$ coterminal angles?

a)

Yes

b)

No

79.

Are $\frac{15\pi}{4}$ and $-\frac{3\pi}{4}$ coterminal angles?

a)

Yes

b)

No

80.

Which of the following angles are coterminal to the angle $-\frac{5\pi}{3}$ ? Select all that apply.

a)

$\frac{\pi}{3}$

b)

$-\frac{11\pi}{3}$

c)

$\frac{7\pi}{3}$

d)

$-\frac{15\pi}{3}$

81.

Which angle is COTERMINAL to $\frac{\pi}{4}$ ?

a)

$\frac{7\pi}{4}$

b)

$\frac{3\pi}{4}$

c)

$-\frac{5\pi}{4}$

d)

$\frac{9\pi}{4}$

82.

Find the reference angle.

a)

$-\frac{\pi}{4}$

b)

$\frac{\pi}{4}$

c)

$\frac{3\pi}{8}$

d)

$-\frac{3\pi}{8}$

83.

Find the reference angle.

a)

$-\frac{4\pi}{9}$

b)

$\frac{2\pi}{9}$

c)

$-\frac{5\pi}{18}$

d)

$\frac{5\pi}{18}$

84.

Find the exact value of the trig function.

a)

-1

b)

1

c)

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

d)

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

85.

The cosecant function is equivalent to...(check all that apply)

a)

$\frac{1}{\cos x}$

b)

$\frac{1}{\sin x}$

c)

Positive in quadrants I and II

d)

Positive in quadrants I and IV

e)

$\frac{\sin x}{\cos x}$

86.

Which of the following is closest to the measure of the angle shown?

a)

7/10 π

b)

3/8 π

c)

7/20 π

d)

3/2 π

87.

What is the reference angle of

-145^0?

a)

$55^0$

b)

$35^0$

c)

$60^0$

d)

$45^0$

88.

Which of the following is a reference angle for $158^0$ ?

a)

$22^0$

b)

$58^0$

c)

$202^0$

d)

$-202^0$

89.

Which of the following is a reference angle for $312^0$ ?

a)

$78^0$

b)

$-48^0$

c)

$-78^0$

d)

$48^0$

90.

Which of the following is a reference angle for $236^0$ ?

a)

$54^0$

b)

$56^0$

c)

$74^0$

d)

$36^{0\ }$

91.

Which of the following is a reference angle for $\frac{26\pi}{15}\ radians\ ?$

a)

$\frac{4\pi}{15}\ radians$

b)

$\frac{7\pi}{45}\ radians$

c)

$\frac{\pi}{15}\ radians$

d)

$-\frac{4\pi}{15}\ radians$

92.

Which of the following is a reference angle for $-\frac{5\pi}{36}\ radians\ ?$

a)

$\frac{5\pi}{36}\ radians$

b)

$\frac{3\pi}{4}\ radians$

c)

$\frac{13\pi}{36}\ radians$

d)

$-\frac{5\pi}{36}\ radians$

93.

Evaluate

\sin^{-1}\left(-\frac{1}{2}\right)

a)

$\frac{\pi}{3}$

b)

$\frac{\pi}{6}$

c)

$\frac{5\pi}{6}$

d)

$-\frac{\pi}{6}$

94.

Evaluate

\arccos\left(\frac{\sqrt{3}}{2}\right)

a)

$\frac{\pi}{3}$

b)

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

c)

$\frac{\pi}{6}$

d)

$\frac{5\pi}{6}$

95.

Evaluate

\sec^{-1}(-2)

a)

$\frac{\pi}{3}$

b)

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

c)

$\frac{\pi}{6}$

d)

$\frac{5\pi}{6}$

96.

Evaluate

\arctan\left(\sqrt{3}\right)

a)

$60\degree$

b)

$120\degree$

c)

$30\degree$

d)

$150\degree$

97.

Evaluate

$\csc^{-1}\left(-\sqrt{2}\right)$

a)

$\frac{\pi}{4}$

b)

$\frac{3\pi}{4}$

c)

$-\frac{\pi}{4}$

d)

$-\frac{3\pi}{4}$

98.

Evaluate

\tan^{-1}\left(-\sqrt{3}\right)

a)

$\frac{5\pi}{6}$

b)

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

c)

$-\frac{\pi}{3}$

d)

$-\frac{\pi}{6}$

99.

What is the range of angles for inverse cosine?

a)

$[0,π]$

b)

$[0,\ 2π]$

c)

$\left[-\frac{\pi}{2},\ \frac{\pi}{2}\right]$

d)

$\left[\frac{\pi}{2},\ \frac{3\pi}{2}\right]$

100.

What kinds of answers are you looking for with inverses?

a)

trig values

b)

angle measures

101.

What is the range of angles for inverse sine?

a)

$[0,π]$

b)

$[0,\ 2π]$

c)

$\left[-\frac{\pi}{2},\ \frac{\pi}{2}\right]$

d)

$\left[\frac{\pi}{2},\ \frac{3\pi}{2}\right]$

102.

What is the range of angles for inverse tangent?

a)

$[0,π]$

b)

$[0,\ 2π]$

c)

$\left(-\frac{\pi}{2},\ \frac{\pi}{2}\right)$

d)

$\left[-\frac{\pi}{2},\ \frac{\pi}{2}\right]$

103.

Find the approximate angle in degrees when simplifying

\operatorname{arccsc}\left(-9.4\right)

a)

$-6.107\degree$

b)

$-0.107\degree$

c)

$173.893\degree$

d)

No solution

104.

Evaluate the given expression using only your unit circle. Give answers in degrees!

$\tan^{-1}\left(-1\right)$ =___ $\degree$

a)

-45^o

b)

45^o

c)

315^o

d)

90^o

105.

Evaluate the given expression using only your unit circle. Give answers in degrees!

$\sin^{-1}\left(\frac{-1}{2}\right)$ =___ $\degree$

a)

-30^o

b)

-60^o

c)

330^o

d)

60^o

106.

Evaluate the given expression using only your unit circle. Give answers in degrees!

$\cos^{-1}\left(0\right)$ =___ $\degree$

a)

180^o

b)

90^o

c)

0^o

d)

-90^o

107.

Evaluate

\tan\left(\sin^{-1}\left(-\frac{1}{2}\right)\right)

a)

$\sqrt{3}$

b)

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

c)

$-\sqrt{3}$

d)

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

108.

Evaluate

$\csc\left(\cos^{-1}\left(\frac{\sqrt{3}}{2}\right)\right)$

a)

2

b)

-2

c)

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

d)

$-\frac{2\sqrt{3}}{3}$ -2√3/3

109.

Evaluate

\arccos\left(\tan\left(-45\degree\right)\right)

a)

$0\degree$

b)

$180\degree$

c)

$45\degree$

d)

$90\degree$

110.

Evaluate

$\sin\left(\cos^{-1}\left(0\right)\right)$

a)

$0$

b)

$1$

c)

$90\degree$

d)

$0\degree$

111.

Evaluate

$\tan\left(\arccos\left(-1\right)\right)$

a)

undefined

b)

0

c)

$\frac{1}{2}$

d)

1

112.

sin(tan^-1(3/4)) (Hint have to draw a triangle on this one)

a)

3/4

b)

4/3

c)

3/5

d)

4/5

113.

$\cos^{-1}\left(\cos\left(\frac{2\pi}{3}\right)\right)$

a)

$-\frac{\pi}{3}$

b)

$\frac{\pi}{3}$

c)

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

d)

not defined

114.

Evaluate

$\arccos\left(\cos\left(\frac{7\pi}{4}\right)\right)$

a)

$\frac{\pi}{4}$

b)

$-\frac{\pi}{4}$

c)

$\frac{7\pi}{4}$

d)

$\frac{3\pi}{4}$

115.

$\arctan\left(\tan\left(\frac{3\pi}{4}\right)\right)$

a)

$-\frac{\pi}{4}$

b)

$\frac{\pi}{4}$

c)

$\frac{5\pi}{4}$

d)

$\frac{3\pi}{4}$

116.

$\cot\left(\operatorname{arccsc}\left(\frac{\sqrt{10}}{3}\right)\right)$

(Hint have to draw a triangle on this one)

a)

$\frac{1}{3}$

b)

$\frac{3}{1}$

c)

$\frac{3\sqrt{10}}{10}$

d)

$\frac{\sqrt{10}}{10}$

117.

$\sin\left(\operatorname{arcsec}\left(\sqrt{6}\right)\right)$

(Hint have to draw a triangle on this one)

a)

$\frac{5\sqrt{6}}{6}$

b)

$\frac{\sqrt{6}}{5}$

c)

$\frac{\sqrt{30}}{6}$

d)

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

118.

Evaluate the combined expression.

\cos\left(\sin^{-1}\left(-\frac{4}{5}\right)\right)

a)

$-\frac{5}{4}$

b)

$-\frac{3}{5}$

c)

$\frac{4}{5}$

d)

$\frac{3}{5}$

119.

Find the exact value of the composite function.

\cos\left[\cos^{-1}\left(-\frac{2}{3}\right)\right]

a)

Not defined

b)

0

c)

$\frac{2}{3}$

d)

$-\frac{2}{3}$

120.

Find the exact value.

\sec\left(\frac{3\pi}{2}\right)

a)

$0$

b)

undefined

c)

1

d)

-1

121.

Find the exact value.

\tan\left(\frac{7\pi}{4}\right)

a)

-1

b)

1

c)

$-\sqrt{3}$

d)

undefined

122.

Find the exact value.

\cos\left(\frac{4\pi}{3}\right)

a)

$-\frac{1}{2}$

b)

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

c)

$\frac{1}{2}$

d)

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

123.

Find the exact value.

\sin\left(\frac{7\pi}{6}\right)

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

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

d)

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

124.

cosθ is positive in

a)

the 1st and 2nd quadrants

b)

the 1st and 3rd quadrants

c)

the 1st and 4th quadrants

d)

the 2nd and 3rd quadrants

125.

sinθ is positive in

a)

the 1st and 2nd quadrants

b)

the 1st and 3rd quadrants

c)

the 1st and 4th quadrants

d)

the 2nd and 3rd quadrants

126.

What radian measure corresponds to the given point?

a)

$\frac{\pi}{4}$

b)

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

c)

$\frac{5\pi}{4}$

d)

$\frac{7\pi}{4}$

127.

$\tan\left(\theta\right)$ is positive in

a)

the 1st and 2nd quadrants

b)

the 1st and 3rd quadrants

c)

the 1st and 4th quadrants

d)

the 2nd and 3rd quadrants

128.

Find the exact value.

\csc\left(\frac{\pi}{6}\right)

a)

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

b)

$2$

c)

$\frac{1}{2}$

d)

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

129.

Find the exact value.

\csc\left(240\degree\right)

a)

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

b)

$-2$

c)

$-\frac{1}{2}$

d)

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

130.

Find the exact value.

\cot\left(540\degree\right)

a)

$0$

b)

$-1$

c)

$undefined$

d)

$1$

131.

Find the exact value.

\sec\left(120\degree\right)

a)

$-\frac{1}{2}$

b)

$-2$

c)

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

d)

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

132.

What is the reference angle to $\pi$ ?

a)

$\pi$

b)

0

c)

This angle does not have a reference angle.

133.

Which angle below does have a reference angle?

a)

$6\pi$

b)

$540\degree$

c)

$1.5\degree$

d)

$\frac{8\pi}{4}$

Review of Unit 2A so far (minus solving)

Total questions: 133

Worksheet time: 4hrs 10mins

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