Question

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Answer 1

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${cos}^{2} ( {sin}^{ - 1} \frac{1}{2} ) + {sin}^{2} ( {cos}^{ - 1} \frac{1}{2} ) \\ = {cos}^{2} \frac{\pi}{6} + {sin}^{2} \frac{\pi}{3} \\ = (\frac{ \sqrt{3} }{2} )^{2} + ({ \frac{ \sqrt{3} }{2} })^{2} \\ = \frac{3}{4} + \frac{3}{4} \\ = \frac{3}{2}$