Which of the following is the principal value branch of `cosec^(-1)x` ?

Options

A. `((-pi)/(2), (pi)/(2))`
B. `[0,pi]-{pi/2}`
C. `[(pi)/(2),(pi)/(2)]`
D. `[(-pi)/(2),(pi)/(2)]-[0]`

Answer

D

Explanation

We know, the principal value brach of `cosec^(-1) x` is `[(-pi)/(2),(pi)/(2)]-0`.