If `sin(sin^(-1)(1/5)+cos^(-1)x)=1`, then 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 know that \( \sin(y) = 1 \) when \( y = \frac{\pi}{2} + 2k\pi \) for any integer \( k \). In this case, we can consider \( y = \sin^{-1}(1/5) + \cos^{-1}(x) \).

### Step 2: Set up the equation
From the above understanding, we can set:
\[
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