\( \sin \left[\cot ^{-1}\left\{\cos \left(\tan ^{-1} x\right)\right\}\right] \) का सरलतम रूप है-...

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\( \sin \left[\cot ^{-1}\left\{\cos \left(\tan ^{-1} x\right)\right\}\right] \) का सरलतम रूप है-
(A) \( \sqrt{\frac{x^{2}+2}{x^{2}+1}} \)
(B) \( \frac{x}{\sqrt{x^{2}+1}} \)
(C) \( \frac{x}{\sqrt{x^{2}+2}} \)
(D) \( \sqrt{\frac{x^{2}+1}{x^{2}+2}} \)
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