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

If `sinB=3sin(2A+B)`, prove that `2tanA+tan(A+B)=0.`

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To prove that \(2\tan A + \tan(A + B) = 0\) given that \(\sin B = 3\sin(2A + B)\), we can follow these steps: ### Step 1: Rewrite the given equation We start with the equation: \[ \sin B = 3\sin(2A + B) \] Using the double angle identity for sine, we can express \(\sin(2A + B)\) as: ...
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RD SHARMA-TRIGONOMETRIC RATIOS OF COMPOUND ANGLES-Solved Examples And Exercises
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  3. If sinB=3sin(2A+B), prove that 2tanA+tan(A+B)=0.

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