Find all the solutions of \( x, y \) in the equation P \[ \begin{ar...

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Find all the solutions of \( x, y \) in the equation
P
\[
\begin{array}{c}
4\left(3 \sqrt{4 x-x^{2}} \sin ^{2}\left(\frac{x+y}{2}\right)+2 \cos (x+y)\right) \\
=13+4 \cos ^{2}(x+y)
\end{array}
\]
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