Factor sin(x)^2-1

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

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

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

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

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

Factor sin(x)^2-1

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