Evaluate: `sin^(-1)(s in(3pi)/5)`

Explanation

To evaluate the expression \( \sin^{-1}(\sin(3\pi/5)) \), we can follow these steps:

### Step 1: Understand the range of the sine inverse function
The function \( \sin^{-1}(x) \) (also known as arcsine) has a range of \( \left[-\frac{\pi}{2}, \frac{\pi}{2}\right] \). This means that the output of \( \sin^{-1}(x) \) will always fall within this interval.

### Step 2: Simplify \( \sin(3\pi/5) \)
We know that \( 3\pi/5 \) is in the second quadrant. In the second quadrant, the sine function is positive. We can use the identity:
\[
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