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A value of $\tan^{- 1} \{\sin (\cos^{- 1} \sqrt{\frac{2}{3}})\}$ , is

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π/4

π/2

π/3

π /6

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detailed solution

Correct option is D

tan−1⁡sin⁡cos−1⁡23=tan−1⁡sin⁡sin−1⁡13=tan−1⁡13=π6

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A value of tan−1⁡sin⁡cos−1⁡23, is

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A value of $\tan^{- 1} \{\sin (\cos^{- 1} \sqrt{\frac{2}{3}})\}$ , is