Free Printable 5.8 Inverse Trigonometric Functions

1.

Domain of function $\sin^{-1}x\ is$

a)

$\left[-\frac{\pi}{2},\frac{\pi}{2}\right]$

b)

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

c)

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

d)

$\left[-1,1\right]$

2.

Domain of function $\cos^{-1}x\ is$

a)

$\left[-\frac{\pi}{2},\frac{\pi}{2}\right]$

b)

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

c)

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

d)

$\left[-1,1\right]$

3.

Range of function $\sin^{-1}x\ is$

a)

$\left[-\frac{\pi}{2},\frac{\pi}{2}\right]$

b)

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

c)

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

d)

$\left[-1,1\right]$

4.

Range of function $\cos^{-1}x\ is$

a)

$\left[0,\ \pi\right]$

b)

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

c)

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

d)

$\left[-1,1\right]$

5.

Range of function $\tan^{-1}x\ is$

a)

R

b)

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

c)

$R-\left\{\frac{\pi}{2}\right\}$

d)

$\left[-\frac{\pi}{2},\frac{\pi}{2}\right]$

6.

The value of $\sin^{-1}\left(\frac{1}{2}\right)\$

a)

$\frac{\pi}{3}$

b)

$\frac{\pi}{6}$

c)

$-\frac{\pi}{3}$

d)

$-\frac{\pi}{6}$

7.

The value of $\cos^{-1}\left(-\frac{\sqrt{3}}{2}\right)\$ is

a)

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

b)

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

c)

$\frac{\pi}{6}$

d)

$-\frac{\pi}{6}$

8.

Find the exact value of $\tan^{-1}\left(-1\right)$

a)

$\frac{\pi}{4}$

b)

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

c)

$-\frac{\pi}{4}$

d)

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

9.

Find the exact value of $\sin^{-1}\left(0\right)$

a)

$\frac{\pi}{2}$

b)

$\pi$

c)

$-\frac{\pi}{2}$

d)

$0$

10.

Find the exact value of $\arccos\left(\frac{1}{2}\right)$

a)

$\frac{\pi}{3}$

b)

$\pi$

c)

$\frac{\pi}{6}$

d)

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

11.

Find the exact value of $\arctan\left(\frac{\sqrt{3}}{3}\right)$

a)

$\frac{\pi}{3}$

b)

$\pi$

c)

$\frac{\pi}{6}$

d)

$-\frac{\pi}{6}$

12.

Find the exact value of $\cos^{-1}\left(0\right)$

a)

$\frac{\pi}{2}$

b)

$\pi$

c)

$-\frac{\pi}{2}$

d)

$0$

13.

Find the exact value of $\arcsin\left(-\frac{\sqrt{2}}{2}\right)$

a)

$\frac{\pi}{4}$

b)

$-\frac{\pi}{4}$

c)

$-\frac{\pi}{2}$

d)

$\frac{\pi}{6}$

14.

Find the exact value of $\arctan\left(-\sqrt{3}\right)$

a)

$\frac{\pi}{3}$

b)

$\frac{\pi}{6}$

c)

$-\frac{\pi}{6}$

d)

$-\frac{\pi}{3}$

15.

Find the exact value of $\tan^{-1}\left(\sqrt{3}\right)$

a)

$\frac{\pi}{3}$

b)

$\frac{\pi}{6}$

c)

$-\frac{\pi}{6}$

d)

$-\frac{\pi}{3}$

16.

Find the exact value of $\sin^{-1}\left(\frac{\sqrt{3}}{2}\right)$

a)

$\frac{\pi}{3}$

b)

$\frac{\pi}{6}$

c)

$-\frac{\pi}{6}$

d)

$-\frac{\pi}{3}$

17.

Find the exact value of $\cos^{-1}\left(1\right)$

a)

$\frac{\pi}{2}$

b)

$-\frac{\pi}{2}$

c)

$\pi$

d)

$0$

18.

Use a calculator to approximate the value to the nearest hundredth, arccos 0.28

(a)

19.

Use a calculator to approximate the value to the nearest hundredth, arcsin (-0.75)

(a)

20.

Use a calculator to approximate the value to the nearest hundredth, arctan (15)

(a)

21.

Use a calculator to approximate the value to the nearest hundredth, arctan (-0.12)

(a)

5.8 Inverse Trigonometric Functions

Total questions: 21

Worksheet time: 5hrs 15mins

Similar Resources on Wayground