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If $\sin (\sin^{- 1} \frac{1}{5} + \cos^{- 1} x) = 1,$ then $x$ is equal to

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Correct option is D

We have, sin⁡sin−1⁡1/5+cos−1⁡x=1⇒ sin−1⁡15+cos−1⁡x=π2⇒ sin−1⁡15=π2−cos−1⁡x⇒sin−1⁡15=sin−1⁡x⇒x=15

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If sin⁡sin−1⁡15+cos−1⁡x=1, then x is equal to

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If $\sin (\sin^{- 1} \frac{1}{5} + \cos^{- 1} x) = 1,$ then $x$ is equal to