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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⁡15+cos−1⁡x=1 ⇒sin−1⁡15+cos−1⁡x=sin−1⁡1⇒sin−1⁡15+cos−1⁡x=π2⇒cos−1⁡x=π2−sin−1⁡15⇒cos−1⁡x=cos−1⁡15 ∴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