Relation between inverse tangent and inverse cotangent for JEE

Formula

\(\tan^{-1}x+\cot^{-1}x=\dfrac{\pi}{2}\)

Variables: \(x\in\mathbb{R}\).

Conditions: With principal value range \(\cot^{-1}x\in(0,\pi)\).

Simplification and evaluation of inverse-trig sums.