Trigonometry Examples

$\frac{2 \tan (3 A)}{1 - \tan^{2} (3 A)}$

Step 1

Rewrite $1$ as $1^{2}$ .

$\frac{2 \tan (3 A)}{1^{2} - \tan^{2} (3 A)}$

Step 2

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 1$ and $b = \tan (3 A)$ .

$\frac{2 \tan (3 A)}{(1 + \tan (3 A)) (1 - \tan (3 A))}$