Precalculus Examples

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

Step 1

Multiply the numerator by the reciprocal of the denominator.

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

Step 2

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

$\csc (x) \cos (x)$

Step 3

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

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

Step 4

Combine $\frac{1}{\sin (x)}$ and $\cos (x)$ .

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

Step 5

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

$\cot (x)$