Principal value of inverse secant for JEE

Formula

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

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

Conditions: Standard restricted range for principal value.

Evaluation and composition problems.