Trigonometry Examples

$\tan^{2} (x) - \cot^{2} (x)$

Step 1

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

$(\tan (x) + \cot (x)) (\tan (x) - \cot (x))$