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The value of $\sin^{2} (\cos^{- 1} \frac{1}{2}) + \cos^{2} (\sin^{- 1} \frac{1}{3}) is$

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Correct option is B

sin2cos−1⁡12+cos2⁡sin−1⁡13=1−cos2⁡cos−1⁡12+1−sin2⁡sin−1⁡13=1−122+1−132=2−14−19=5936

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The value of sin2⁡cos−1⁡12+cos2⁡sin−1⁡13 is

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The value of $\sin^{2} (\cos^{- 1} \frac{1}{2}) + \cos^{2} (\sin^{- 1} \frac{1}{3}) is$