Trigonometry Examples

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

Step 1

Start on the left side.

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

Step 2

Apply pythagorean identity.

$\sin^{2} (x)$

Step 3

Rewrite $\sin^{2} (x)$ as $\frac{\cos (x) \sin (x)}{\cot (x)}$ .

$\frac{\cos (x) \sin (x)}{\cot (x)}$

Step 4

Because the two sides have been shown to be equivalent, the equation is an identity.

$1 - \cos^{2} (x) = \frac{\cos (x) \sin (x)}{\cot (x)}$ is an identity