CBSE

MATHEMATICS · Subjective · CBSE · Mathematics · Inverse Trigonometric Functions · Inverse Trigonometric Functions

Problem

Prove that tan⁡−1x+tan⁡−11x={π2,if x>0,−π2,if x<0.\tan^{-1}x+\tan^{-1}\frac{1}{x}=\begin{cases}\frac{\pi}{2},&\text{if }x>0,\\-\frac{\pi}{2},&\text{if }x<0.\end{cases}

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