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If tanA=xtanB, prove that: (x+1)sin(A-...

If `tanA=xtanB`, prove that:
`(x+1)sin(A-B)=(x-1)sin(A+B)`

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AI Generated Solution

To prove that \( (x+1) \sin(A-B) = (x-1) \sin(A+B) \) given that \( \tan A = x \tan B \), we can follow these steps: ### Step 1: Express \( \tan A \) and \( \tan B \) in terms of sine and cosine. We know that: \[ \tan A = \frac{\sin A}{\cos A} \quad \text{and} \quad \tan B = \frac{\sin B}{\cos B} \] Given \( \tan A = x \tan B \), we can write: ...
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