Free Printable Using the Unit Circle

Free Printable Worksheets

Worksheets

Using the Unit Circle

Total questions: 20

Worksheet time: 15mins

Name

Class

Date

1.

What is the sine of $360\degree$

a)

0

b)

1

c)

$2\pi$

d)

$\frac{1}{2}$

2.

Which is coterminal to $150\degree$

a)

$210\degree$

b)

$510\degree$

c)

$-210\degree$

d)

$-510\degree$

3.

What is the cosine of $-\frac{\pi}{3}$ radians

a)

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

b)

$\frac{5\pi}{3}$

c)

$\frac{1}{2}$

d)

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

4.

What is $240\degree$ in radians?

a)

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

b)

$\frac{4\pi}{3}$

c)

$\frac{3\pi}{4}$

d)

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

5.

What is the sine of $8\pi$ radians

a)

0

b)

1

c)

$2\pi$

d)

360

6.

What is the cosine of $390\degree$

a)

30

b)

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

c)

$\frac{1}{2}$

d)

$\frac{\pi}{6}$

7.

In what quadrant is $\frac{21\pi}{4}$

a)

I

b)

II

c)

III

d)

IV

8.

Which is coterminal to $120\degree$

a)

$240\degree$

b)

$-240\degree$

c)

$480\degree$

d)

$-480\degree$

9.

Which angles have sine values of $\frac{1}{2}$

a)

$\frac{\pi}{6}$

b)

$\frac{\pi}{3}$

c)

$\frac{5\pi}{6}$

d)

$\frac{5\pi}{3}$

10.

Which is coterminal to $450\degree$

a)

$\pi$ radians

b)

$\frac{\pi}{2}$ radians

c)

$\frac{3\pi}{2}$ radians

d)

1 radian

11.

What is the cosine of $-60\degree$

a)

$\frac{1}{2}$

b)

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

c)

$-\frac{1}{2}$

d)

$\frac{5\pi}{3}$

12.

What is the sine of $-\frac{3\pi}{2}$

a)

0

b)

1

c)

$\frac{\pi}{2}$

d)

$\frac{1}{2}$

13.

In what quadrant is $-585\degree$

a)

I

b)

II

c)

III

d)

IV

14.

What is the sine of $37\pi$

a)

0

b)

1

c)

-1

d)

$\pi$

15.

Which is coterminal to $-120\degree$

a)

$120\degree$

b)

$240\degree$

c)

$-480\degree$

d)

$600\degree$

16.

What is the sine of $-\frac{\pi}{4}$

a)

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

b)

$\frac{1}{2}$

c)

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

d)

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

17.

In which quadrant is $-\frac{7\pi}{3}$

a)

I

b)

II

c)

III

d)

IV

18.

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

19.

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

20.

What is cos 90°?

a)

½

b)

undefined

c)

1

d)

0

100 %

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