If \( A, B, C, D \) are angles of a cyclic quadrilateral, prove that \( \sin A+\sin B=\sin C+\si...

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If \( A, B, C, D \) are angles of a cyclic quadrilateral, prove that \( \sin A+\sin B=\sin C+\sin D \).
Hint. \( A+C=B+D=\pi \).
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