If \( \cos (\alpha+\beta)=\frac{4}{5}, \sin (\alpha-\beta)=\frac{5}...

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If \( \cos (\alpha+\beta)=\frac{4}{5}, \sin (\alpha-\beta)=\frac{5}{13} \) and \( \alpha, \beta \) lie - between 0 and \( \frac{\pi}{4} \), prove that \( \tan 2 \alpha=\frac{56}{33} \).
\( \mathrm{W} \)
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