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If $\tan (\cos^{- 1} x) = \sin (\cot^{- 1} \frac{1}{2})$ , then $x =$

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Correct option is B

tan(cos−1x)=sincot−112⇒tantan−11−x2x=sinsin−125⇒1−x2x=25⇒4x2=5−5x2⇒x=±53

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If tan(cos−1x)=sincot−112, thenx=

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If $\tan (\cos^{- 1} x) = \sin (\cot^{- 1} \frac{1}{2})$ , then $x =$