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Question Number 30823 by drishtantsingh315 last updated on 26/Feb/18

Answered by math1967 last updated on 27/Feb/18

$$Cos\left[{\tan }^{-1}\left\{\sin \left({\cot }^{-1}x\right)\right\}\right]$$$$\cos \left[{\tan }^{-1}\left\{\sin \left({\sin }^{-1}\frac{1}{\sqrt{1+x^2}}\right)\right\}\right]$$$$\cos \left[{\tan }^{-1}\left\{\frac{1}{\sqrt{1+x^2}}\right\}\right]$$$$\cos \left[{\cos }^{-1}\left\{\frac{\sqrt{1+x^2}}{\sqrt{1+1+x^2}}\right\}\right]$$$$\sqrt{\frac{1+x^2}{2+x^2}}$$

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