Write down the interval for the principal-value branch of each of the following functions and draw its graph: cosec ^-1 x

Question

Write down the interval for the principal-value branch  of the following functions and draw its graph: 

cosec^-1 x

Answer 1

Principal value branch of cosec^-1 x is \(\left[-\frac{\pi}{2},0)\cup(0,\frac{\pi}{2}\right]\)