Free Printable Assessment: Lesson 7-2 Angles and the Unit Circle

1.

sin (π/2)

a)

√3/2

b)

√2/2

c)

1/2

d)

1

2.

cos (π/4)

a)

√3/2

b)

√2/2

c)

1/2

d)

1

3.

cos(π)

a)

√3/2

b)

-√2/2

c)

-1

d)

1

4.

cos(5π/3)

a)

-√2/2

b)

-1/2

c)

1/2

d)

√3/2

5.

tan(3π/4)

a)

√2/2

b)

-√2/2

c)

√3/2

d)

-1

6.

tan(300^o)

a)

-√3 /3

b)

½

c)

2√3 /3

d)

-√3

7.

cos(30^o)

a)

- ½

b)

√3/2

c)

2√3 /3

d)

½

8.

Choose the best match for the graph.

a)

30^o

b)

45^o

c)

60^o

d)

90^o

9.

Choose the best match for the graph.

a)

30^o

b)

45^o

c)

60^o

d)

90^o

10.

Choose the best match for the graph.

a)

30^o

b)

45^o

c)

60^o

d)

90^o

11.

Choose the best match for the graph.

a)

45^o

b)

90^o

c)

135^o

d)

180^o

12.

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

a)

30°

b)

45°

c)

60°

d)

90°

13.

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

a)

30°

b)

45°

c)

60°

d)

90°

14.

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

a)

y

b)

x

c)

x/y

d)

y/x

15.

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

a)

y

b)

x

c)

x/y

d)

y/x

16.

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

a)

y/r

b)

x/r

c)

r/y

d)

y/x

17.

sin(11π/6)

a)

-1/2

b)

1/2

c)

√3/2

d)

-√3/2

18.

What is the radius of the unit circle?

a)

0

b)

1

c)

1/2

d)

√2/2

19.

Find sin(-240°)

a)

(√3)/2)

b)

(-1/2)

c)

(√2/2)

d)

(1/2)

20.

Find cos(600°)

a)

(-1/2)

b)

(-√3/2)

c)

(√3/2)

d)

(√2/2)

21.

Find a coterminal angle to 5°.

a)

365°

b)

255°

c)

-220°

d)

-365°

22.

Find a coterminal angle to 45°.

a)

360°

b)

405°

c)

315°

d)

295°

23.

Find a coterminal angle to -90°.

a)

-450°

b)

90°

c)

180°

d)

-180°

24.

Find a coterminal angle to -27°.

a)

-387°

b)

27°

c)

323°

d)

-393°

25.

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

a)

1

b)

2

c)

3

d)

4

26.

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

a)

420°, -240°

b)

480°, -240°

c)

300°, -360°

d)

0°, -250°

27.

What are the negative and positive coterminal angles of -165°?

a)

435°, -545°

b)

185°, -305°

c)

195°, -525°

d)

125°, -185°

28.

In which quadrant is -570⁰

a)

I

b)

II

c)

III

d)

IV

29.

In which quadrant would you find an angle measuring -700°?

a)

1

b)

2

c)

3

d)

4

30.

Find a coterminal angle to -90°.

a)

-450°

b)

90°

c)

180°

d)

-180°

31.

What are the negative and positive coterminal angles of -225°?

a)

375°, -605°

b)

125°, -355°

c)

135°, -585°

d)

60°, -120°

32.

Which of the following is a negative coterminal angle of 165 degrees?

a)

195

b)

525

c)

-525

d)

-195

33.

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

a)

540°, -120°

b)

600°, -120°

c)

425°, -240°

d)

120°, -135°

34.

Which is a coterminal angle to the angle shown?

a)

613

b)

73

c)

-117

d)

17

35.

Which is a coterminal angle to the angle shown?

a)

831

b)

832

c)

833

d)

834

36.

Which of the following is a negative coterminal angle of 165 degrees? (Level 1)

a)

-165

b)

525

c)

-525

d)

-555

37.

Which of the following angles are co-terminal to 330^o?

a)

-330^o, 330^o

b)

510^o, -210^o

c)

690^o, -30^o

d)

420^o, -330^o

38.

Which of the following angles are co-terminal to 450^o?

a)

450^o, -450^o

b)

90^o, -270^o

c)

270^o, -90^o

d)

420^o, -330^o

39.

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

a)

30º

b)

40º

c)

395º

d)

440º

40.

Which sketch is -295°?

a)

A

b)

B

c)

C

d)

D

41.

$Find\ the\ Sin\ \frac{5\pi}{2}$

a)

0

b)

1

c)

-1

d)

undefined

42.

$Find\ Cos\ 113\pi$

a)

0

b)

1

c)

-1

d)

undefined

43.

$Find\ Tan\ \frac{27\pi}{2}$

a)

0

b)

1

c)

-1

d)

undefined

44.

$Find\ Sec\ -17\pi$

a)

0

b)

1

c)

-1

d)

undefined

45.

$Find\ Csc\ \frac{-13\pi}{2}$

a)

0

b)

-1

c)

1

d)

undefined

46.

$Find\ Cot\ -55\pi$

a)

0

b)

1

c)

-1

d)

undefined

47.

$\sin\ 990\degree$

a)

0

b)

1

c)

-1

d)

undefined

48.

$Cos\ -270\degree$

a)

0

b)

-1

c)

undefined

d)

1

49.

$Tan\ 540\degree$

a)

0

b)

-1

c)

1

d)

undefined

50.

$Find\ Csc\ 630\degree$

a)

0

b)

1

c)

-1

d)

undefined

51.

$Find\ Sec\ -720\degree$

a)

0

b)

1

c)

-1

d)

undefined

52.

$Find\ Cot\ -810\degree$

a)

0

b)

-1

c)

undefined

d)

1

53.

$What\ is\ the\ reference\ angle\ of\ 270\degree\ ?$

a)

$0\degree$

b)

$90\degree$

c)

$-90\degree$

d)

$45\degree$

54.

$What\ is\ the\ reference\ angle\ of\ -23\pi$

a)

0

b)

$\pi$

c)

$-\pi$

d)

$\frac{\pi}{2}$

55.

$Find\ Sin\ 315\degree$

a)

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

b)

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

c)

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

d)

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

56.

$Find\ Cos\ \frac{-55\pi}{3}$

a)

$\frac{1}{2}$

b)

$\frac{-1}{2}$

c)

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

d)

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

57.

$Find\ Cot\ \frac{91\pi}{6}$

a)

$\sqrt[]{3}$

b)

$-\sqrt[]{3}$

c)

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

d)

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

58.

$Find\ Sec\ -510\degree$

a)

$2$

b)

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

c)

$-2$

d)

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

59.

$Find\ Csc\ \frac{-37\pi}{4}$

a)

$2$

b)

$\sqrt[]{2}$

c)

$-2$

d)

$-\sqrt[]{2}$

60.

Match the following angles measured in radians to degrees

a)

$90\degree$

1.

$\frac{\pi}{2}$

b)

$180\degree$

2.

$\pi$

c)

$30\degree$

3.

$\frac{\pi}{6}$

d)

$45\degree$

4.

$\frac{\pi}{4}$

e)

$60\degree$

5.

$\frac{\pi}{3}$

61.

Match the correct value of the trigo ratios of special angles

a)

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

1.

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

b)

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

2.

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

c)

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

3.

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

d)

$\frac{1}{2}$

4.

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

e)

$\frac{1}{2}$

5.

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

62.

cos(30^o)

a)

- ½

b)

√3/2

c)

2√3 /3

d)

½

63.

sin(π/4)

a)

-1

b)

-√2/2

c)

√3/2

d)

√2/2

64.

csc(π)

a)

0

b)

UND

c)

1

d)

-1

65.

tan(300^o)

a)

-√3 /3

b)

½

c)

2√3 /3

d)

-√3

66.

sin(7π/6)

a)

- ½

b)

2√3 /3

c)

½

d)

-2√3 /3

67.

tan(0^o)

a)

1

b)

0

c)

√2

d)

UND

68.

tan(135^o)

a)

-√2/2

b)

-√3/2

c)

-√3/3

d)

-1

69.

cos(270^o)

a)

0

b)

1

c)

-1

d)

UND

70.

cot(4π/3)

a)

- √3/2

b)

1

c)

-√3

d)

√3/3

71.

sec(7π /4)

a)

-√2 /2

b)

√2

c)

√2 /2

d)

-√2

72.

sin(120^o)

a)

- ½

b)

√3/2

c)

2√3 /3

d)

½

73.

tan(3π/4)

a)

√2/2

b)

-√2/2

c)

√3/2

d)

-1

74.

cos(2π)

a)

0

b)

1

c)

UND

d)

-1

75.

csc(30^o)

a)

-√3/2

b)

½

c)

2√3 /3

d)

2

76.

cos(2π/3)

a)

- ½

b)

2√3 /3

c)

½

d)

-2√3 /3

77.

tan(3π/2)

a)

-1

b)

UND

c)

√2

d)

-√3/3

78.

sin(315^o)

a)

√2/2

b)

-√3/2

c)

½

d)

-√2/2

79.

sec(90^o)

a)

UND

b)

1

c)

-1

d)

0

80.

tan(11π/6)

a)

- √3/2

b)

-1

c)

-√3

d)

-√3/3

81.

cot(45^o)

a)

½

b)

1

c)

-1

d)

√2

Assessment: Lesson 7-2 Angles and the Unit Circle

Total questions: 81

Worksheet time: 3hrs 37mins

Similar Resources on Wayground