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

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

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To solve the equation \( \sin(\sin^{-1}(1/5) + \cos^{-1}(x)) = 1 \), we will follow these steps: ### Step 1: Understand the equation We start with the equation: \[ \sin(\sin^{-1}(1/5) + \cos^{-1}(x)) = 1 \] We know that the sine function equals 1 at \( \frac{\pi}{2} \). Thus, we can set: ...
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