Quiz 17 - Inverse Trigonometric Functions

A

B

C

D

π/4

3π/4

-π/4

-3π/4

$$Tan\left(x\right)$$  has a restricted domain: $$-\frac{\pi}{2}<x<\frac{\pi}{2}$$  

$$Tan^{-1}\left(x\right)$$  exists

its range is  $$\left[-1,1\right]$$  

$$Tan\left(-\frac{\pi}{4}\right)=-1$$  

The domain is restricted to QI and QIV on the unit circle.

$$-\frac{3}{5}$$  

$$\frac{3}{5}$$  

$$-\frac{4}{3}$$  

$$\frac{4}{3}$$  

UNDEFINED

$$\frac{\pi}{4}$$  

$$\frac{\pi}{3}$$  

$$\frac{\pi}{2}$$  

$$\frac{2\pi}{3}$$  

$$\frac{3\pi}{4}$$  

$$-\frac{\pi}{6}$$  

$$-\frac{\pi}{4}$$  

$$-\frac{\pi}{3}$$  

$$\frac{5\pi}{3}$$  

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