If \( A, B, C, D \) are angles of a quadrilateral, then prove that \( \tan \left(\frac{A+B}{2}\r...

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If \( A, B, C, D \) are angles of a quadrilateral, then prove that \( \tan \left(\frac{A+B}{2}\right)+\tan \left(\frac{C+D}{2}\right)=0 \)
Hint. \( A+B+C+D=2 \pi \).
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