Find the value of `sin^(-1)(sin.(5pi)/3)`.

Explanation

To find the value of \( \sin^{-1}(\sin(5\pi/3)) \), we will follow these steps:

### Step 1: Identify the angle
The angle \( 5\pi/3 \) is not within the range of \( -\frac{\pi}{2} \) to \( \frac{\pi}{2} \), which is the principal range for the inverse sine function.

### Step 2: Convert the angle to an equivalent angle within the range
To find an equivalent angle for \( 5\pi/3 \) that lies within the range of \( -\frac{\pi}{2} \) to \( \frac{\pi}{2} \), we can use the periodicity of the sine function. We know that:
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