Trigonometry Examples

$\tan^{2} (z) - \cos^{2} (x)$

Step 1

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

$(\tan (z) + \cos (x)) (\tan (z) - \cos (x))$