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Worksheets

The Unit Circle Part 1

Total questions: 17

Worksheet time: 10mins

Name
Class
Date
1.

Use your Unit Circle to identify the sine of

 0°0\degree  .

a)

0

b)

1

c)

 12\frac{1}{2}  

d)

-1

2.

Use your Unit Circle to identify the cosine of

 π6\frac{\pi}{6}  

a)

 12\frac{1}{2}  

b)

 32\frac{\sqrt{3}}{2}  

c)

0

d)

 22\frac{\sqrt{2}}{2}  

3.

Use your Unit Circle to identify the sine of

 300°300\degree  

a)

 −22-\frac{\sqrt{2}}{2}  

b)

 12\frac{1}{2}  

c)

0

d)

 −32-\frac{\sqrt{3}}{2}  

4.

Use your Unit Circle to identify the cosine of

 90°90\degree  

a)

1

b)

 −12-\frac{1}{2}  

c)

0

d)

-1

5.

Use your Unit Circle to identify the cosine of

 2π2\pi  

a)

1

b)

-1

c)

0

d)

 12\frac{1}{2}  

6.

Use your Unit Circle to identify the sine of

 60°60\degree  

a)

 12\frac{1}{2}  

b)

 −12-\frac{1}{2}  

c)

 −22-\frac{\sqrt{2}}{2}  

d)

 32\frac{\sqrt{3}}{2}  

7.

Use your Unit Circle to identify the sine of

 11π6\frac{11\pi}{6}  

a)

 12\frac{1}{2}  

b)

 −32-\frac{\sqrt{3}}{2}  

c)

 −12-\frac{1}{2}  

d)

1

8.

Use your Unit Circle to identify the cosine of

 135°135\degree  

a)

 22\frac{\sqrt{2}}{2}  

b)

 12\frac{1}{2}  

c)

 −22-\frac{\sqrt{2}}{2}  

d)

 −32-\frac{\sqrt{3}}{2}  

9.

Use your Unit Circle to identify the tangent of

 π4\frac{\pi}{4} . *Hint* remember on the Unit Circle that  tan⁡θ=yx\tan\theta=\frac{y}{x}  

a)

 22\frac{\sqrt{2}}{2}  

b)

0

c)

1

d)

 12\frac{1}{2}  

10.

 150°150\degree  

Use your Unit Circle to identify the cosine of

a)

 12\frac{1}{2}  

b)

 −32-\frac{\sqrt{3}}{2}  

c)

 32\frac{\sqrt{3}}{2}  

d)

 22\frac{\sqrt{2}}{2}  

11.

Use your Unit Circle to identify the cosine of  \frac{5\pi}{4}  

a)

 −22-\frac{\sqrt{2}}{2}  

b)

 22\frac{\sqrt{2}}{2}  

c)

1

d)

0

12.

Use your Unit Circle to identify the sine of 270\degree  

a)

0

b)

1

c)

-1

d)

 12\frac{1}{2}  

13.

Use your Unit Circle to identify the sine of 210\degree  

a)

 −32-\frac{\sqrt{3}}{2}  

b)

 −12-\frac{1}{2}  

c)

 −22-\frac{\sqrt{2}}{2}  

d)

-1

14.

Use your Unit Circle to identify the sine of  \pi  

a)

0

b)

1

c)

-1

d)

 32\frac{\sqrt{3}}{2}  

15.

Use your Unit Circle to identify the cosine of  240\degree  

a)

 22\frac{\sqrt{2}}{2}  

b)

 −32-\frac{\sqrt{3}}{2}  

c)

1

d)

 −12-\frac{1}{2}  

16.

Use your Unit Circle to identify the cosine of  \frac{2\pi}{3}  

a)

 12\frac{1}{2}  

b)

 −12-\frac{1}{2}  

c)

 32\frac{\sqrt{3}}{2}  

d)

 −32-\frac{\sqrt{3}}{2}  

17.

Use your Unit Circle to identify the tangent of  315\degree  . *Hint* on the Unit Circle,  tan⁡θ=yx\tan\theta=\frac{y}{x}  

a)

 22\frac{\sqrt{2}}{2}  

b)

 −22-\frac{\sqrt{2}}{2}  

c)

-1

d)

0