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The value of $\sin [\cot^{- 1} \{\cos (\tan^{- 1} x)\}],$ is

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Correct option is B

We have, sin⁡cot−1⁡cos⁡tan−1⁡x = sin⁡cot−1⁡11+tan2⁡tan−1⁡x = sin⁡cot−1⁡11+x2 = 11+cot2⁡cot−1⁡11+x2=11+11+x2 =1+x22+x2

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The value of sin⁡cot−1⁡cos⁡tan−1⁡x, is

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The value of $\sin [\cot^{- 1} \{\cos (\tan^{- 1} x)\}],$ is