Relations for inverse secant and inverse cosecant for JEE

Formula

\(\sec^{-1}x+\csc^{-1}x=\dfrac{\pi}{2}\operatorname{sgn}(x)\)

Variables: \(x\in(-\infty,-1]\cup[1,\infty)\), \(\operatorname{sgn}(x)=1\) for \(x>0\), \(-1\) for \(x<0\).

Conditions: Using standard principal branches.

Advanced simplification of inverse reciprocal functions.