Question

If $\tan A=\frac{3}{5}$ then find the value of $\tan 2A$.

Answer 1

Given,

$\tan A=\frac{3}{5}$.

Now,

$\tan 2A$ $=\frac{2\tan A}{1-{\tan }^{2}A}$

$=\frac{2\times \frac{3}{5}}{1-\frac{3^2}{5^2}}$

$=\frac{30}{16}$

$=\frac{15}{8}$