Prove that if the angles \( \alpha \& \beta \) satisfy the relation \( \frac{\sin \beta}{\sin (2...

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Prove that if the angles \( \alpha \& \beta \) satisfy the relation \( \frac{\sin \beta}{\sin (2 \alpha+\beta)} \)
\( =\frac{n}{m}(|m||n|) \) then \( \frac{1+\frac{\tan \beta}{\tan \alpha}}{m+n}=\frac{1-\tan \alpha \tan \beta}{m-n} \)
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