If then value of is equal to

MATHEMATICS · Single correct · CBSE · Mathematics · Inverse Trigonometric Functions · Inverse Trigonometric Functions

Problem

If x<0x < 0 then value of tan⁡−1(x)+tan⁡−1(1x)\tan^{-1}(x) + \tan^{-1}\left(\frac{1}{x}\right) is equal to (a) π2\frac{\pi}{2} (b) −π2-\frac{\pi}{2} (c) 0 (d) −π-\pi

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