Free Printable Content Check 6.4 The Unit Circle

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Worksheets

Content Check 6.4 The Unit Circle

Total questions: 20

Worksheet time: 40mins

Name

Class

Date

1.

Find the exact value of $\cos\frac{\pi}{4}$ .

a)

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

b)

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

c)

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

d)

$\frac{1}{2}$

2.

Find the exact value of $\tan\frac{\pi}{3}$ .

a)

$\frac{1}{2}$

b)

$\sqrt{3}$

c)

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

d)

$-\sqrt{3}$

3.

Find the exact value of $\csc\frac{5\pi}{4}$ .

a)

$\frac{1}{\sqrt{2}}$

b)

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

c)

$-\sqrt{2}$

d)

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

4.

Find the exact value of $\sec\frac{11\pi}{6}$ .

a)

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

b)

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

c)

$\frac{1}{2}$

d)

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

5.

Find the exact value of $\tan\frac{3\pi}{2}$ .

a)

$1$

b)

$0$

c)

undefined

d)

$-1$

6.

Find the exact value of $\cos\frac{\pi}{6}$ .

a)

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

b)

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

c)

$\frac{1}{2}$

d)

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

7.

Find the exact value of $\sin\frac{7\pi}{6}$ .

a)

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

b)

$\frac{1}{2}$

c)

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

d)

$-\frac{1}{2}$

8.

Find the exact value of $\tan\frac{5\pi}{3}$ .

a)

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

b)

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

c)

$-\sqrt{3}$

d)

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

9.

Find the exact value of $\sec\pi$ .

a)

$1$

b)

$0$

c)

undefined

d)

$-1$

10.

Find the exact value of $\csc\frac{3\pi}{4}$ .

a)

$\sqrt{2}$

b)

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

c)

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

d)

$-\sqrt{2}$

11.

Find the exact value of $\cot\frac{\pi}{2}$ .

a)

$1$

b)

$0$

c)

undefined

d)

$-1$

12.

Find the exact value of $\sin\frac{\pi}{2}$ .

a)

$1$

b)

$0$

c)

undefined

d)

$-1$

13.

Find the exact value of $\sec\frac{5\pi}{6}$ .

a)

$\frac{1}{2}$

b)

$-2$

c)

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

d)

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

14.

Find the exact value of $\cos\frac{4\pi}{3}$ .

a)

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

b)

$-\frac{1}{2}$

c)

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

d)

$\frac{1}{2}$

15.

Find the exact value of $\tan\frac{7\pi}{4}$ .

a)

$1$

b)

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

c)

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

d)

$-1$

16.

Find the exact value of $\sin\frac{2\pi}{3}$ .

a)

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

b)

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

c)

$\frac{1}{2}$

d)

$-\frac{1}{2}$

17.

Find the exact value of $\tan\frac{5\pi}{4}$ .

a)

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

b)

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

c)

$1$

d)

$-1$

18.

Find the exact value of $\csc\frac{11\pi}{6}$ .

a)

$2$

b)

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

c)

$-2$

d)

$-\frac{1}{2}$

19.

Find the exact value of $\sec0$ .

a)

$1$

b)

$0$

c)

undefined

d)

$-1$

20.

Find the exact value of $\cot\frac{5\pi}{3}$ .

a)

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

b)

$-\sqrt{3}$

c)

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

d)

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

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