Trigonometry Examples

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

Step 1

Apply pythagorean identity.

$\frac{\cos^{2} (x)}{\sin (x)}$

Step 2

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

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

Step 3

Separate fractions.

$\frac{\cos (x)}{1} \cdot \frac{\cos (x)}{\sin (x)}$

Step 4

Convert from $\frac{\cos (x)}{\sin (x)}$ to $\cot (x)$ .

$\frac{\cos (x)}{1} \cot (x)$

Step 5

Divide $\cos (x)$ by $1$ .

$\cos (x) \cot (x)$