If , then is equal…

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

Problem

If 0<x<10<x<1, then 1+x2{[xcos⁡(cot⁡−1x)+sin⁡(cot⁡−1x)]2−1}1/2\sqrt{1+x^2}\left\{\left[x\cos(\cot^{-1}x)+\sin(\cot^{-1}x)\right]^2-1\right\}^{1/2} is equal to (1) x1+x2\frac{x}{\sqrt{1+x^2}} (2) xx (3) x1+x2x\sqrt{1+x^2} (4) 1+x2\sqrt{1+x^2}

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