If \( \tan (A+B)=3 \tan A \), prove that \( \sin 2(A+B)+\sin 2 A=2 \sin 2 B \)
If \( \tan (A+B)=3 \tan A \), prove that \( \sin 2(A+B)+\sin 2 A=2 \sin 2 B \)
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