The value of for is:

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

Problem

The value of tan⁡−1(12tan⁡2a)+tan⁡−1(cot⁡a)+tan⁡−1(cot⁡3a)\tan^{-1}\left(\frac{1}{2}\tan2a\right)+\tan^{-1}(\cot a)+\tan^{-1}(\cot^3a) for 0<a<π40<a<\frac{\pi}{4} is: (1) 4tan⁡−1(1)4\tan^{-1}(1) (2) 2tan⁡−1(2)2\tan^{-1}(2) (3) 00 (4) None of these

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