Trigonometry Examples

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

Step 1

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

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

Step 2

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

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

Step 3

Multiply by the reciprocal of the fraction to divide by $\frac{1}{\cos (x)}$ .

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

Step 4

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

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