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

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

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To prove that if \( \tan(A+B) = 3 \tan A \), then \( \sin(2A+B) = 2 \sin B \), we can follow these steps: ### Step 1: Rewrite the given equation in terms of sine and cosine We start with the equation: \[ \tan(A+B) = 3 \tan A \] Using the definition of tangent, we can write this as: ...
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