Precalculus Examples

$\sin^{2} (θ) - 1$

Step 1

Simplify with factoring out.

Tap for more steps...

Reorder $\sin^{2} (θ)$ and $- 1$ .

$- 1 + \sin^{2} (θ)$

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

$- 1 (1) + \sin^{2} (θ)$

Factor $- 1$ out of $\sin^{2} (θ)$ .

$- 1 (1) - 1 (- \sin^{2} (θ))$

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

$- 1 (1 - \sin^{2} (θ))$

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

$- (1 - \sin^{2} (θ))$

Step 2

Apply pythagorean identity.

$- \cos^{2} (θ)$