If `tan^(-1)x = y` then

Options

A. (a) `-1 < y < 1`
B. (b) `y = [-pi/2,pi/2]`
C. (c) `y = (-pi/2,pi/2)`
D. (d) `y = {-pi/2,pi/2}`

Answer

(b) `y = [-pi/2,pi/2]`

Explanation

We know that,

`tan^(-1)x` is not defined at `x=frac{-pi}{2}` and `x=frac{pi}{2}`


Hence, Range of `tan^(-1)x` excludes `frac{-pi}{2}` and `frac{pi}{2}`