Free Printable Unit Circle Trig Values

1.

Convert 150⁰ to radians

a)

5π/6

b)

3π/4

c)

7π/6

d)

2π/3

2.

What is 7π/4 radians in degrees?

a)

300

b)

135

c)

315

d)

45

3.

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

a)

-288⁰

b)

-260⁰

c)

-275⁰

4.

sec 3π/2

a)

0

b)

undefined

c)

1

d)

-1

5.

tan 7π/4

a)

-1

b)

1

c)

√2/2

d)

undefined

6.

sin 7π/6

a)

1/2

b)

-1/2

c)

√3/2

d)

-√3/2

7.

tan (-π)

a)

undefined

b)

0

c)

1

d)

-1

8.

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)

9.

What quadrant is -2π/3 in?

a)

I

b)

II

c)

III

d)

IV

10.

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

11.

What is the radius of a unit circle?

a)

1

b)

2

c)

1/2

d)

0

12.

a)

b)

c)

d)

13.

Q: Mary’s father has 5 daughters – Nana, Nene, Nini, Nono. What is the fifth daughter's name?

a)

Nunu

b)

Dazlyn

c)

Mary

d)

Janet

14.

*

a)

csc x

b)

sec x

c)

cot x

d)

tan x

15.

Evaluate: csc(3π/4)

a)

√2/2

b)

-√2/2

c)

√2

d)

-√2

16.

sin (π/2)

a)

√3/2

b)

√2/2

c)

1/2

d)

1

17.

cos (π/4)

a)

√3/2

b)

√2/2

c)

1/2

d)

1

18.

cos(π)

a)

√3/2

b)

-√2/2

c)

-1

d)

1

19.

cos(5π/3)

a)

-√2/2

b)

-1/2

c)

1/2

d)

√3/2

20.

tan(3π/4)

a)

√2/2

b)

-√2/2

c)

√3/2

d)

-1

21.

tan(300^o)

a)

-√3 /3

b)

½

c)

2√3 /3

d)

-√3

22.

cos(30^o)

a)

- ½

b)

√3/2

c)

2√3 /3

d)

½

23.

Choose the best match for the graph.

a)

30^o

b)

45^o

c)

60^o

d)

90^o

24.

Choose the best match for the graph.

a)

30^o

b)

45^o

c)

60^o

d)

90^o

25.

Choose the best match for the graph.

a)

30^o

b)

45^o

c)

60^o

d)

90^o

26.

Choose the best match for the graph.

a)

45^o

b)

90^o

c)

135^o

d)

180^o

27.

What is the angle measure, in degrees, at the red marking on the unit circle?

a)

30°

b)

45°

c)

60°

d)

90°

28.

What is the value of θ, theta, in degrees on the unit circle?

a)

30°

b)

45°

c)

60°

d)

90°

29.

Based on the unit circle, what is the value of sin?

a)

y

b)

x

c)

x/y

d)

y/x

30.

Based on the unit circle, what is the value of cos?

a)

y

b)

x

c)

x/y

d)

y/x

31.

Based on the unit circle, what is the value of tan?

a)

y/r

b)

x/r

c)

r/y

d)

y/x

32.

sin(11π/6)

a)

-1/2

b)

1/2

c)

√3/2

d)

-√3/2

33.

What is the radius of the unit circle?

a)

0

b)

1

c)

1/2

d)

√2/2

34.

Find sin(-240°)

a)

(√3)/2)

b)

(-1/2)

c)

(√2/2)

d)

(1/2)

35.

Find cos(600°)

a)

(-1/2)

b)

(-√3/2)

c)

(√3/2)

d)

(√2/2)

36.

cos(60°)

a)

0

b)

1/2

c)

√3/2

d)

1

37.

cos 150^o

a)

-1/2

b)

1/2

c)

√3/2

d)

-√3/2

38.

sin 7π/6

a)

1/2

b)

-1/2

c)

√3/2

d)

-√3/2

39.

What is the radius of a unit circle?

a)

1

b)

2

c)

1/2

d)

0

40.

What is the exact value of sin 150°

a)

-1/2

b)

-√3/2

c)

1/2

d)

√3/2

41.

Who's logo is this?

a)

McDonalds

b)

Burger King

c)

Checkers

d)

Wendys

42.

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

a)

(0, 1)

b)

(1/2, √3/2)

c)

(√3/2, 1/2)

d)

(√2/2, 1/2)

43.

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

44.

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

45.

What is sin 45°?

a)

1

b)

^√3/₂

c)

½

d)

^√2/₂

46.

What is cos 90°?

a)

½

b)

undefined

c)

1

d)

0

47.

What is tan 45°?

a)

1

b)

^√2/₂

c)

^√3/₂

d)

½

48.

What is cos 30°?

a)

^√3/₂

b)

½

c)

^√2/₂

d)

1

49.

sin π/4

a)

√2∕2

b)

1/2

c)

√3/2

d)

0

50.

cos 5π/6

a)

-1/2

b)

1/2

c)

√3/2

d)

-√3/2

51.

cos 4π/3

a)

-√3/2

b)

√3/2

c)

1/2

d)

-1/2

52.

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)

53.

sin 2π/3

a)

1/2

b)

-1/2

c)

√3/2

d)

-√3/2

54.

cos(π)=

a)

0

b)

1

c)

-1

d)

1/2

55.

cos (π/4)

a)

√3/2

b)

√2/2

c)

1/2

d)

1

56.

What is the radius of a unit circle?

a)

1

b)

2

c)

1/2

d)

0

57.

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

58.

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

59.

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

60.

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

61.

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

a)

base, hypotenuse

b)

hypotenuse, adjacent

c)

opposite, hypotenuse

d)

adjacent, opposite

62.

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

a)

$\frac{hypotenuse}{adjacent}$

b)

$\frac{opposite}{adjacent}$

c)

$\frac{adjacent}{hypotenuse}$

d)

$\frac{adjacent}{opposite}$

63.

What is the reciprocal of the sine function?

a)

cosecant

b)

cosine

c)

secant

d)

cotangent

64.

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

a)

$\frac{opposite}{hypotenuse}$

b)

$\frac{opposite}{adjacent}$

c)

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

d)

$\frac{hypotenuse}{adjacent}$

65.

sin 150

a)

-1/2

b)

-√3/2

c)

1/2

d)

√3/2

66.

cos 90

a)

0

b)

1

c)

-1

d)

undefined

67.

tan 270

a)

0

b)

1

c)

-1

d)

undefined

68.

tan 225

a)

√2/2

b)

-√2/2

c)

1

d)

-1

69.

csc 300

a)

-2

b)

2

c)

2√3/3

d)

-2√3/3

70.

sec 300

a)

2√3/3

b)

-2√3/3

c)

2

d)

-2

71.

cos 135

a)

√2/2

b)

-√2/2

c)

√3/2

d)

-√3/2

72.

sin 180

a)

0

b)

1

c)

-1

d)

undefined

73.

cos 180

a)

0

b)

1

c)

-1

d)

undefined

74.

tan 180

a)

0

b)

1

c)

-1

d)

undefined

75.

cot 180

a)

0

b)

1

c)

-1

d)

undefined

76.

csc 0

a)

0

b)

1

c)

-1

d)

undefined

77.

tan 330

a)

√3

b)

-√3

c)

√3/3

d)

-√3/3

78.

tan 240

a)

√3

b)

-√3

c)

√3/3

d)

-√3/3

79.

tan 210

a)

√3

b)

-√3

c)

√3/3

d)

-√3/3

80.

tan 90

a)

0

b)

1

c)

-1

d)

undefined

81.

cot 90

a)

0

b)

1

c)

-1

d)

undefined

82.

sec 135

a)

√2

b)

-√2

c)

√2/2

d)

-√2/2

83.

csc 60

a)

2

b)

-2

c)

2√3/3

d)

-2√3/3

84.

sin 150

a)

1/2

b)

-1/2

c)

√3/2

d)

-√3/2

85.

sin π/4

a)

√2∕2

b)

1/2

c)

√3/2

d)

0

86.

cos 5π/6

a)

-1/2

b)

1/2

c)

√3/2

d)

-√3/2

87.

cos 4π/3

a)

-√3/2

b)

√3/2

c)

1/2

d)

-1/2

88.

sin 2π/3

a)

1/2

b)

-1/2

c)

√3/2

d)

-√3/2

89.

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)

90.

a)

-√3/2

b)

-½

c)

-√2/2

d)

-1

91.

a)

1

b)

-1

c)

0

d)

√2/2

92.

a)

√3/3

b)

√3

c)

1

d)

undefined

93.

a)

-1

b)

0

c)

undefined

d)

√3

94.

a)

½

b)

√2/2

c)

√3/2

d)

1

95.

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)

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

96.

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)

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

97.

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)

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

98.

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)

$360\degree,\ 2\pi$

99.

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)

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

100.

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)

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

101.

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)

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

102.

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)

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

103.

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)

$-\frac{1}{2}$

104.

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

a)

$0$

b)

$1$

c)

$\frac{1}{2}$

d)

$-1$

105.

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)

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

106.

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)

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

107.

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)

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

108.

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)

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

109.

What is the radius of the unit circle?

a)

1

b)

2

c)

10

d)

It varies.

110.

The sine of any angle on the unit circle is the y-coordinate.

a)

True

b)

False

111.

The cosine of any angle on the unit circle is the y-coordinate.

a)

True

b)

False

112.

When drawing a right triangle from any point on the unit circle to the x-axis, the hypotenuse is equal to one.

a)

True

b)

False

113.

What is $\sin\left(\frac{\pi}{6}\right)$ ?

a)

1

b)

1/2

c)

√3/2

d)

√2/2

114.

What is the $\cos\left(\frac{3\pi}{4}\right)$ ?

a)

√3/2

b)

-√3/2

c)

√2/2

d)

-√2/2

115.

What is $\tan\left(\frac{5\pi}{6}\right)$ ?

a)

√3

b)

-√3

c)

√3/3

d)

-√3/3

116.

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

a)

1/2

b)

-1/2

c)

√3/2

d)

-√3/2

117.

$\cos\left(\frac{5\pi}{4}\right)$

a)

-√3/2

b)

-1/2

c)

-√2/2

d)

√2/2

118.

$\tan\left(\frac{5\pi}{4}\right)$

a)

√2/2

b)

-√2/2

c)

-1

d)

1

Unit Circle Trig Values

Total questions: 118

Worksheet time: 3hrs 18mins

Similar Resources on Wayground