Precalculus Examples

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

Step 1

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

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

Step 2

Multiply by the reciprocal of the fraction to divide by $\frac{\cos (x)}{\sin (x)}$ .

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

Step 3

Write $\cos (x)$ as a fraction with denominator $1$ .

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

Step 4

Cancel the common factor of $\cos (x)$ .

Tap for more steps...

Step 4.1

Cancel the common factor.

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

Step 4.2

Rewrite the expression.

$\sin (x)$