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Q. If $\sin\left(\alpha -\beta\right)= \frac{5}{13} $ and $\cos\left(\alpha+\beta\right) = \frac{3}{5} $ where $0 < \alpha , \beta < \frac{\pi}{2} \tan\left(2\alpha\right) = ? $

Solution:

Correct answer is (a) $\frac{63}{16}$