Trigonometry Examples

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

Step 1

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

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

Step 2

Separate fractions.

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

Step 3

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

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

Step 4

Convert from $\frac{1}{\sin (x)}$ to $\csc (x)$ .

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

Step 5

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

$\csc (x) \cot (x) + \cot (x)$