Free Printable Unit circle review (degrees only)

1.

Find the exact value:

$\cos0\degree$

a)

$0$

b)

$\frac{1}{2}$

c)

$1$

d)

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

2.

Find the exact value:

$\sin30\degree$

a)

$\frac{1}{2}$

b)

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

c)

$0$

d)

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

3.

What is the radius of the unit circle?

a)

$0$

b)

$1$

c)

$\frac{1}{2}$

d)

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

4.

Find the exact value:

$\cos135\degree$

a)

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

b)

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

c)

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

d)

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

5.

Find the exact value:

$\sin210\degree$

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

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

d)

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

6.

Find the exact value:

$\cos270\degree$

a)

$0$

b)

$1$

c)

$-1$

d)

undefined

7.

Sine and cosine have the same value at what degree?

a)

$0\degree$

b)

$30\degree$

c)

$45\degree$

d)

$60\degree$

8.

Find the exact value:

$\sin330\degree$

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

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

d)

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

9.

Find the exact value:

$\cos315\degree$

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

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

d)

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

10.

Find the exact value:

$\sin150\degree$

a)

$-\frac{1}{2}$

b)

$\frac{1}{2}$

c)

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

d)

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

11.

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

12.

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

13.

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

14.

Find the exact value:

$\tan225\degree$

a)

$1$

b)

$-1$

c)

$\sqrt[]{3}$

d)

$-\sqrt[]{3}$

15.

Find the exact value:

$\cos330\degree$

a)

$-\frac{1}{2}$

b)

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

c)

$\frac{1}{2}$

d)

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

16.

Find the exact value:

$\cos90\degree$

a)

1

b)

0

c)

-1

d)

undefined

17.

Find the exact value:

$\tan270\degree$

a)

$0$

b)

Undefined

c)

$-1$

d)

$1$

18.

Find the exact value:

$\tan120\degree$

a)

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

b)

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

c)

$-\sqrt{3}$

d)

$\sqrt[]{3}$

19.

Find the exact value:

$\tan300\degree$

a)

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

b)

$\sqrt[]{3}$

c)

$-\sqrt{3}$

d)

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

20.

Find the exact value:

$\tan315\degree$

a)

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

b)

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

c)

$-1$

d)

$1$

21.

Find the exact value:

$\cos300\degree$

a)

$-\frac{1}{2}$

b)

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

c)

$\frac{1}{2}$

d)

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

22.

Find the exact value:

$\tan210\degree$

a)

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

b)

$\sqrt{3}$

c)

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

d)

$-\sqrt{3}$

23.

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

a)

y

b)

x

c)

$\frac{x}{y}$

d)

$\frac{y}{x}$

24.

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

a)

y

b)

x

c)

$\frac{x}{y}$

d)

$\frac{y}{x}$

25.

Find the exact value:

$\sin225\degree$

a)

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

b)

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

c)

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

d)

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

26.

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

a)

x

b)

y

c)

$\frac{x}{y}$

d)

$\frac{y}{x}$

27.

Find the exact value:

$\cos240\degree$

a)

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

b)

$-\frac{1}{2}$

c)

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

d)

$\frac{1}{2}$

28.

Find the exact value:

$\cos60\degree$

a)

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

b)

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

c)

$\frac{1}{2}$

d)

$-\frac{1}{2}$

29.

Find the exact value:

$\sin120\degree$

a)

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

b)

$\frac{1}{2}$

c)

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

d)

$-\frac{1}{2}$

30.

Find the exact value:

$\sin300\degree$

a)

$\frac{1}{2}$

b)

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

c)

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

d)

$-\frac{1}{2}$

31.

Find the exact value:

$\sin315\degree$

a)

$\frac{1}{2}$

b)

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

c)

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

d)

$-\frac{1}{2}$

32.

Find the exact value:

$\tan240\degree$

a)

$\sqrt[]{3}$

b)

$-\ \sqrt[]{3}$

c)

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

d)

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

33.

Find the exact value:

$\cos120\degree$

a)

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

b)

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

c)

$-\frac{1}{2}$

d)

$\frac{1}{2}$

34.

Find the exact value:

$\tan135\degree$

a)

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

b)

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

c)

1

d)

-1

35.

Find the exact value:

$\tan180\degree$

a)

-1

b)

0

c)

undefined

d)

1

36.

Find the exact value:

$\cos300\degree$

a)

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

b)

$-\frac{1}{2}$

c)

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

d)

$\frac{1}{2}$

37.

Find the exact value:

$\sin90\degree$

a)

-1

b)

0

c)

undefined

d)

1

38.

Find the exact value:

$\sin270\degree$

a)

Undefined

b)

1

c)

-1

d)

0

39.

Find the exact value:

$\tan45\degree$

a)

1

b)

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

c)

^-1

d)

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

Unit circle review (degrees only)

Total questions: 39

Worksheet time: 13mins

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