Inverse Trigonometric Functions

Vertical Line Test

Horizontal Line Test

One-to-one Test

Function Domain-Range Test

$$-\frac{\pi}{3}$$  

$$\frac{\pi}{3}$$  

$$-\frac{\pi}{6}$$  

$$\frac{\pi}{6}$$  

$$\frac{2\pi}{3}$$  

$$-\frac{\pi}{3}$$  

$$\frac{4\pi}{3}$$  

$$-\frac{2\pi}{3}$$  

R 

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

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

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

$$\frac{\pi}{4}$$  

$$\frac{-\pi}{4}$$  

$$\frac{-3\pi}{4}$$  

$$\frac{3\pi}{4}$$  

3

11

13

15

$$\frac{\pi}{6}$$  

$$-\frac{\pi}{6}$$  

$$\frac{7\pi}{6}$$  

$$\frac{5\pi}{6}$$  

1

- 1 

0

$$\frac{1}{2}$$  

$$\sqrt{3}$$

$$-\sqrt{3}$$

$$\frac{1}{\sqrt{3}}$$

$$\frac{-1}{\sqrt{3}}$$

$$\left[\pi,\ 2\pi\right]$$

$$\left(0\ ,\ \pi\right)$$

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

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