If `-1lt=x , ylt=1` such that `sin^(-1)x+sin^(-1)y=(2pi)/3,` find the value of `cos^(-1)x+cos^(-1)ydot`

Explanation

To solve the problem, we need to find the value of \( \cos^{-1} x + \cos^{-1} y \) given that \( \sin^{-1} x + \sin^{-1} y = \frac{2\pi}{3} \).

### Step-by-Step Solution:

1. **Start with the given equation:**
\[ \sin^{-1} x + \sin^{-1} y = \frac{2\pi}{3} \]
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