Principal value of inverse cosecant for JEE

Formula

\(y=\csc^{-1}x\iff \csc y=x,\ y\in\left[-\dfrac{\pi}{2},\dfrac{\pi}{2}\right]\setminus\{0\}\)

Variables: \(x\in(-\infty,-1]\cup[1,\infty)\).

Conditions: Standard restricted range for principal value.

Evaluation and composition problems.