If , then is equal…

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

Problem

If sin⁡−1x+cot⁡−1(12)=π2\sin^{-1}x + \cot^{-1}\left(\frac{1}{2}\right) = \frac{\pi}{2} , then xx is equal to (a) 0 (b) 15\frac{1}{\sqrt{5}} (c) 25\frac{2}{\sqrt{5}} (d) 32\frac{\sqrt{3}}{2}

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