Trigonometry Examples

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

Step 1

Simplify with factoring out.

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Step 1.1

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

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

Step 1.2

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

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

Step 1.3

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

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

Step 1.4

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

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

Step 1.5

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

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

Step 2

Apply pythagorean identity.

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