Precalculus Examples

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

Step 1

Factor $- 1$ out of $\sin (x)$ .

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

Step 2

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

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

Step 3

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

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

Step 4

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

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

Step 5

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

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

Step 6

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

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