Reciprocal inverse-function relations for JEE

Formula

\(\sec^{-1}x=\cos^{-1}\left(\dfrac{1}{x}\right),\quad \csc^{-1}x=\sin^{-1}\left(\dfrac{1}{x}\right)\)

Variables: \(|x|\ge 1\).

Conditions: Principal values must be interpreted in standard ranges.

Converting reciprocal inverse functions to basic inverse functions.