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

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Correct option is B

sin⁡cot−1⁡cos⁡tan−1⁡1=sin⁡cot−1⁡cos⁡π4 ∵tan−1⁡1=π4=sin⁡cot−1⁡12=sin⁡sin−1⁡23=23=23∵cot−1⁡12=sin−1⁡23

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The value of sin⁡cot−1⁡cos⁡tan−1⁡1,is

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