If `sin(sin^(-1)(1/5)+cos^(-1)(x))=1` Find the value of `x`.

Explanation

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

### Step 1: Understand the equation
We start with the equation:
\[ \sin(\sin^{-1}(1/5) + \cos^{-1}(x)) = 1 \]
This implies that the angle \( \sin^{-1}(1/5) + \cos^{-1}(x) \) must equal \( \frac{\pi}{2} \) because the sine function achieves a maximum value of 1 at \( \frac{\pi}{2} \).
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