If `sin^(-1)(5/x)+cos^(-1)(x/5)=pi/2`,then find x.

Explanation

To solve the equation \( \sin^{-1}\left(\frac{5}{x}\right) + \cos^{-1}\left(\frac{x}{5}\right) = \frac{\pi}{2} \), we can follow these steps:

### Step 1: Use the identity of inverse trigonometric functions
We know that:
\[ \sin^{-1}(a) + \cos^{-1}(a) = \frac{\pi}{2} \]
for any \( a \) in the domain of the sine and cosine functions.
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