Trigonometry Examples

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

Simplify with factoring out.

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

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

Rewrite $- 1$ as $- 1 (1)$ .

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

Factor $- 1$ out of $\sin^{2} (x)$ .

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

Factor $- 1$ out of $- 1 (1) - 1 (- \sin^{2} (x))$ .

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

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

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

Apply pythagorean identity.

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