Free Printable Unit Circle Practice

1.

In which quadrant is this angle? $\frac{3\pi}{4}$

a)

First Quadrant

b)

Second Quadrant

c)

Third Quadrant

d)

Fourth Quadrant

2.

In which quadrant is this angle? $\frac{\pi}{3}$

a)

First Quadrant

b)

Second Quadrant

c)

Third Quadrant

d)

Fourth Quadrant

3.

In which quadrant is this angle? $\frac{11\pi}{6}$

a)

First Quadrant

b)

Second Quadrant

c)

Third Quadrant

d)

Fourth Quadrant

4.

Which of these angles is in the third quadrant?

a)

$\frac{\pi}{2}$

b)

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

c)

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

d)

$\frac{\pi}{3}$

5.

Which of these angles is in the fourth quadrant?

a)

$\frac{7\pi}{4}$

b)

$\frac{7\pi}{6}$

c)

$\frac{\pi}{6}$

d)

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

6.

Which of these coordinates is in the fourth quadrant?

a)

$\left(\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)$

b)

$\left(-1,0\right)$

c)

$\left(-\frac{\sqrt{3}}{2},-\frac{1}{2}\right)$

d)

$\left(\frac{1}{2},-\frac{\sqrt{3}}{2}\right)$

7.

In which quadrant is the angle $\frac{\pi}{6}$ ?

a)

First Quadrant

b)

Second Quadrant

c)

Third Quadrant

d)

Fourth Quadrant

8.

In which quadrant is the angle $\frac{4\pi}{3}$ ?

a)

First Quadrant

b)

Second Quadrant

c)

Third Quadrant

d)

Fourth Quadrant

9.

Which direction does the angle $\frac{3\pi}{2}$ point?

a)

Right

b)

Up

c)

Left

d)

Down

10.

In which quadrant is $\left(-\frac{\sqrt{3}}{2},\frac{1}{2}\right)$ ?

a)

First Quadrant

b)

Second Quadrant

c)

Third Quadrant

d)

Fourth Quadrant

11.

In which quadrant is $\left(-\frac{\sqrt{2}}{2},-\frac{\sqrt{2}}{2}\right)$ ?

a)

First Quadrant

b)

Second Quadrant

c)

Third Quadrant

d)

Fourth Quadrant

12.

Which of these angles is not in the same quadrant as the other 3?

a)

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

b)

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

c)

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

d)

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

13.

What coordinate goes with the angle $\frac{\pi}{3}$ ?

a)

$\left(\frac{1}{2},\frac{\sqrt{3}}{2}\right)$

b)

$\left(\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)$

c)

$\left(\frac{\sqrt{3}}{2},\frac{1}{2}\right)$

d)

$\left(0,1\right)$

14.

What coordinate goes with the angle $\pi$ ?

a)

$\left(1,0\right)$

b)

$\left(\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)$

c)

$\left(-1,0\right)$

d)

$\left(-\frac{\sqrt{2}}{2},-\frac{\sqrt{2}}{2}\right)$

15.

What coordinate goes with the angle $\frac{7\pi}{4}$ ?

a)

$\left(-\frac{\sqrt{2}}{2},-\frac{\sqrt{2}}{2}\right)$

b)

$\left(\frac{\sqrt{2}}{2},-\frac{\sqrt{2}}{2}\right)$

c)

$\left(0,-1\right)$

d)

$\left(\frac{1}{2},-\frac{\sqrt{3}}{2}\right)$

16.

What angle goes with the coordinate $\left(0,1\right)$ ?

a)

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

b)

$0$

c)

$\pi$

d)

$\frac{\pi}{2}$

17.

What angle goes with the coordinate $\left(-\frac{1}{2},\frac{\sqrt{3}}{2}\right)$ ?

a)

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

b)

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

c)

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

d)

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

18.

What angle goes with the coordinate $\left(-\frac{\sqrt{3}}{2},-\frac{1}{2}\right)$ ?

a)

$\frac{\pi}{6}$

b)

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

c)

$\frac{7\pi}{6}$

d)

$\frac{11\pi}{6}$

19.

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

a)

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

b)

$\frac{1}{2}$

c)

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

d)

$1$

20.

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

a)

$0$

b)

$\frac{1}{2}$

c)

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

d)

$1$

21.

$\cos\left(\frac{7\pi}{6}\right)=$

a)

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

b)

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

c)

$\frac{1}{2}$

d)

$-\frac{1}{2}$

22.

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

a)

$\frac{1}{2}$

b)

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

c)

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

d)

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

23.

$\sin\left(0\right)=$

a)

$0$

b)

$1$

c)

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

d)

$\frac{1}{2}$

24.

$\cos\left(\frac{5\pi}{3}\right)=$

a)

$-\frac{1}{2}$

b)

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

c)

$\frac{1}{2}$

d)

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

25.

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

a)

$-\frac{1}{2}$

b)

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

c)

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

d)

$1$

26.

$\cos\left(0\right)=$

a)

$0$

b)

$1$

c)

$-1$

d)

$\frac{1}{2}$

Unit Circle Practice

Total questions: 26

Worksheet time: 13mins

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