If sin⁡−1(x5)+csc⁡−1(54)=π2\sin^{-1} \left( \frac{x}{5} \right) + \csc^{-1} \left( \frac{5}{4} \right) = \frac{\pi}{2}…

Problem

If sin⁡−1(x5)+csc⁡−1(54)=π2\sin^{-1} \left( \frac{x}{5} \right) + \csc^{-1} \left( \frac{5}{4} \right) = \frac{\pi}{2} , then the value of xx is a. 1 b. 3 c. 4 d. 5

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