The question is related to trigonometry and we have to use the formula of double angle .
Here we use double angle formula of tangent function which is
[tex] tan(2x) = \frac{2tan(x)}{1-tan^2(x)} [/tex]
Given expression is
[tex] \frac{2tan (5 \degree)}{1-tan^2(5 \degree)} [/tex]
Comparing it with double angle formula, we will get x = 5
SO the required expression is equal to
[tex] \frac{2tan (5 \degree)}{1-tan^2(5 \degree)} =tan(2*5 ) [/tex]
[tex] \frac{2tan (5 \degree)}{1-tan^2(5 \degree)} =tan(10 ) [/tex]
So the answer is tan(10) .
