Free Printable 4-7 Inverse Trig

1.

Given $\cot\theta=-1$ , find $\theta$ in radians between $0\le x\le2\pi$ . Check all that apply.

a)

$\frac{\pi}{4}$

b)

$\frac{5\pi}{4}$

c)

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

d)

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

2.

Given $\cos\theta=\frac{\sqrt{2}}{2}$ , find 𝜽 in radians between $0\le\theta\le2\pi$ .

a)

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

b)

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

c)

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

d)

$\frac{5\pi}{4}$ and $\frac{3\pi}{4}$

3.

Given $\sin\theta=-\frac{\sqrt{3}}{2}$ , find 𝜽 in radians between $0\le\theta\le2\pi$ .

a)

$\frac{4\pi}{3}$ and $\frac{5\pi}{3}$

b)

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

c)

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

d)

$\frac{4\pi}{3}$ and $\frac{2\pi}{3}$

4.

Given $\csc\theta=\sqrt{2}$ , find $\theta$ in radians between $0\le x\le2\pi$ . Check all that apply.

a)

$\frac{\pi}{4}$

b)

$\frac{5\pi}{4}$

c)

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

d)

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

5.

Given $\tan\theta=-\frac{\sqrt{3}}{3}$ , find 𝜽 in radians between $0\le\theta\le2\pi$ .

a)

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

b)

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

c)

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

d)

$\frac{5\pi}{6}$ and $\frac{11\pi}{6}$

6.

Given $\sin\theta=\frac{1}{2}$ , find 𝜽 in radians between $0\le\theta\le2\pi$ .

a)

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

b)

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

c)

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

d)

$\frac{\pi}{4}$ and $\frac{5\pi}{4}$

7.

Given $\cos\theta=-1$ , find 𝜽 in radians between $0\le\theta\le2\pi$ .

a)

$2\pi$

b)

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

c)

$\frac{\pi}{2}$

d)

$\pi$

8.

Given $\tan\theta=-\sqrt{3}$ , find 𝜽 in radians between $0\le\theta\le2\pi$ .

a)

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

b)

$\frac{2\pi}{3}$ and $\frac{5\pi}{3}$

c)

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

d)

$\frac{\pi}{4}$ and $\frac{5\pi}{4}$

9.

Given $\cos\theta=-\frac{\sqrt{3}}{2}$ , find $\theta$ in radians between $0\le x\le2\pi$ . Check all that apply.

a)

$\frac{\pi}{6}$

b)

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

c)

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

d)

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

10.

Given $\sin\theta=-1$ , find 𝜽 in radians between $0\le\theta\le2\pi$ .

a)

$2\pi$

b)

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

c)

$\frac{\pi}{2}$

d)

$\pi$

4-7 Inverse Trig

Total questions: 10

Worksheet time: 20mins

Similar Resources on Wayground