Precalculus Examples

$1 - \sin^{2} (x)$

Step 1

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

$1^{2} - \sin^{2} (x)$

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 $b = \sin (x)$ .

$(1 + \sin (x)) (1 - \sin (x))$