Free Printable Unit Circle

1.

Evaluate: $\sin\left(210\degree\right)$

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

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

d)

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

2.

Evaluate: $\tan\left(-\pi\right)$

a)

undefined

b)

0

c)

1

d)

-1

3.

Evaluate: $\sin\left(\frac{\pi}{2}\right)$

a)

0

b)

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

c)

-1

d)

1

4.

Evaluate: $\cos\left(\frac{4\pi}{3}\right)$

a)

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

b)

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

c)

$\frac{1}{2}$

d)

$-\frac{1}{2}$

5.

Evaluate: $\cos\left(\frac{7\pi}{4}\right)$

a)

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

b)

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

c)

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

d)

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

6.

Evaluate: $\cos\left(-315\degree\right)$

a)

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

b)

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

c)

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

d)

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

7.

Evaluate: $\cos\left(\pi\right)$

a)

$\frac{1}{2}$

b)

0

c)

-1

d)

1

8.

Evaluate: $\sin\left(\frac{5\pi}{3}\right)$

a)

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

b)

$-\frac{1}{2}$

c)

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

d)

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

9.

Evaluate: $\sin\left(0\right)$

a)

0

b)

1

c)

-1

d)

undefined

10.

Evaluate: $\cos\left(360\degree\right)$

a)

0

b)

-1

c)

1

d)

und

11.

Evaluate: $\tan\left(\frac{7\pi}{4}\right)$

a)

-1

b)

1

c)

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

d)

undefined

12.

Evaluate: $\csc\left(135\degree\right)$

a)

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

b)

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

c)

$\sqrt[]{2}$

d)

$-\sqrt[]{2}$

13.

Evaluate: $\cot\left(-300\degree\right)$

a)

$\sqrt[]{3}$

b)

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

c)

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

d)

$-\ \sqrt[]{3}$

14.

Evaluate: $\sec\left(\frac{3\pi}{2}\right)$

a)

0

b)

undefined

c)

1

d)

-1

15.

Which quadrant is $\left(-\frac{2\pi}{3}\right)$ in?

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

16.

How many radians is two complete rotations of the unit circle?

a)

$\pi$

b)

$2\pi$

c)

$4\pi$

d)

$720$

17.

$\tan\left(\theta\right)$ is positive in which quadrants? (Select all that apply)

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

18.

$\sin\left(\frac{4\pi}{3}\right)$ is equivalent to which expression?

a)

$\cos\left(\frac{5\pi}{6}\right)$

b)

$\csc\left(\frac{4\pi}{3}\right)$

c)

$\cot\left(\frac{3\pi}{4}\right)$

d)

None of these

19.

$\sin\left(\frac{7\pi}{6}\right)$ is equivalent to which expressions? (Hint: There are multiple answers!)

a)

$\cos\left(\frac{3\pi}{4}\right)$

b)

$\cos\left(\frac{2\pi}{3}\right)$

c)

$\sin\left(\frac{11\pi}{6}\right)$

d)

- $\sin\left(210\degree\right)$

Unit Circle

Total questions: 19

Worksheet time: 10mins

Similar Resources on Wayground