Trigonometry Examples

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

Step 1

Rewrite $\csc (x)$ in terms of sines and cosines.

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

Step 2

Rewrite $\frac{\frac{1}{\sin (x)}}{\cos (x)}$ as a product.

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

Step 3

Multiply $\frac{1}{\sin (x)}$ by $\frac{1}{\cos (x)}$ .

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

Step 4

Separate fractions.

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

Step 5

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

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

Step 6

Convert from $\frac{1}{\cos (x)}$ to $\sec (x)$ .

$\sec (x) \csc (x)$