Find the value of `sin^(-1)(sin((2pi)/3))`

Explanation

To find the value of \( \sin^{-1}(\sin(\frac{2\pi}{3})) \), we will follow these steps:

### Step 1: Identify the angle
We start with the angle \( \frac{2\pi}{3} \). This angle is in radians and can be converted to degrees if necessary, but we will work in radians for this problem.

### Step 2: Determine the range of the sine inverse function
The function \( \sin^{-1}(x) \) (or arcsin) is defined for values of \( x \) in the range of \([-1, 1]\) and its output is restricted to the range \([- \frac{\pi}{2}, \frac{\pi}{2}]\).

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