Evaluate: `sin(cot^(-1)cos(tan^(-1)x)`

Answer

`sqrt{frac{1+x^{2}}{2+x^{2}}}`

Explanation

`\sin [\cot ^{-1}(\cos (\tan ^{-1} x))]`



let `\tan ^{-1} {x}=\theta`



`\tan \theta={x}`



`arrow \cos \theta=\frac{1}{\sqrt{1+x^{2}}}=a`



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