If in a triangle \( \mathrm{ABC}, \sin 2 \mathrm{~A}+\sin 2 \mathrm...

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If in a triangle \( \mathrm{ABC}, \sin 2 \mathrm{~A}+\sin 2 \mathrm{~B}=\sin 2 \mathrm{C} \), prove that either \( \mathrm{A}=90^{\circ} \) or \( \mathrm{B}=90^{\circ} \).
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