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Worksheets

Radians/Degrees & Unit Circle Practice

Total questions: 50

Worksheet time: 29mins

Name
Class
Date
1.
30°
a)
π/2
b)
π/3
c)
π/4
d)
π/6
2.
45°
a)
π/2
b)
π/3
c)
π/4
d)
π/6
3.
60°
a)
π/2
b)
π/3
c)
π/4
d)
π/6
4.
90°
a)
π/2
b)
π/3
c)
π/4
d)
π/6
5.
120°
a)
3π/4
b)
π/2
c)
2π/3
d)
5π/6
6.

135°

a)

π/4

b)

3π/4

c)

7π/6

d)

5π/4

7.
150°
a)
5π/3
b)
3π/4
c)
2π/3
d)
5π/6
8.

180°

a)

b)

π/2

c)

π

d)

3π/2

9.
210°
a)
5π/4
b)
7π/6
c)
4π/3
d)
2π/3
10.
225°
a)
π/4
b)
4π/3
c)
3π/4
d)
5π/4
11.
240°
a)
2π/3
b)
5π/6
c)
4π/3
d)
3π/4
12.
270°
a)
π
b)
π/2
c)
d)
3π/2
13.
300°
a)
π
b)
5π/3
c)
2π/3
d)
5π/6
14.

315°

a)

5π/4

b)

7π/4

c)

11π/4

d)

11π/6

15.
330°
a)
11π/6
b)
2π/3
c)
7π/4
d)
3π/2
16.

360°

a)

b)

π

c)

3π/2

d)

π/2

17.

π/6 =

a)

30°

b)

60º

c)

90°

d)

45°

18.

π/4 =

a)

90⁰

b)

45⁰

c)

60⁰

d)

30⁰

19.

π/3 =

a)

60⁰

b)

30⁰

c)

90⁰

d)

45⁰

20.

π/2 =

a)

30°

b)

60º

c)

90°

d)

45°

21.

2π/3 =

a)

270°

b)

60º

c)

150°

d)

120°

22.

3π/4 =

a)

240°

b)

135º

c)

225°

d)

270°

23.

5π/6 =

a)

180

b)

150

c)

360

d)

120

24.

π =

a)

90⁰

b)

180⁰

c)

360⁰

d)

60⁰

25.

7π/6 =

a)

240°

b)

420º

c)

210°

d)

270°

26.

5π/4 =

a)

215°

b)

135º

c)

315°

d)

225°

27.

4π/3 =

a)

120

b)

240

c)

210

d)

270

28.

3π/2 =

a)

270°

b)

120º

c)

240°

d)

150°

29.

5π/3 =

a)

270°

b)

300º

c)

240°

d)

150°

30.

7π/4 =

a)

300

b)

135

c)

315

d)

45

31.

11π/6 =

a)

320°

b)

300º

c)

330°

d)

315°

32.

2π =

a)

300°

b)

330º

c)

360°

d)

315°

33.

What are the coordinates of 0° on the unit circle?

a)

(0, 1)

b)

(1, 0)

c)

(-1, 0)

d)

(0, -1)

34.

What are the coordinates of 90° on the unit circle?

a)

(0, 1)

b)

(1, 0)

c)

(-1, 0)

d)

(0, -1)

35.

What are the coordinates of 180° on the unit circle?

a)

(0, 1)

b)

(1, 0)

c)

(-1, 0)

d)

(0, -1)

36.

What are the coordinates of 270° on the unit circle?

a)

(0, 1)

b)

(1, 0)

c)

(-1, 0)

d)

(0, -1)

37.

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

a)

y/r

b)

x/r

c)

r/y

d)

y/x

38.

Based on the unit circle, what is the value of csc θ?

a)

y/r

b)

x/r

c)

r/y

d)

y/x

39.

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

a)

y/r

b)

x/r

c)

r/y

d)

y/x

40.

Based on the unit circle, what is the value of sec θ?

a)

y/r

b)

x/r

c)

r/y

d)

r/x

41.

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

a)

y/r

b)

x/y

c)

r/y

d)

y/x

42.

Based on the unit circle, what is the value of cot θ?

a)

y/r

b)

x/y

c)

r/y

d)

y/x

43.

cos(0)

a)

1

b)

0

c)

undefined

d)

-1

44.

tan(0)

a)

1

b)

0

c)

und

d)

-1

45.

sin(π/2)

a)

1

b)

0

c)

-1

d)

undefined

46.

tan(π/2)

a)

1

b)

0

c)

-1

d)

und

47.

cos(π)

a)

1

b)

0

c)

undefined

d)

-1

48.

sin(3π/2)

a)

1

b)

0

c)

undefined

d)

-1

49.

tan(3π/2)

a)

1

b)

0

c)

undefined

d)

-1

50.

cos(2π)

a)

1

b)

0

c)

undefined

d)

-1