Trigonometry Examples

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

Step 1

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

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

Step 2

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

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

Step 3

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

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

Step 4

Simplify.

Tap for more steps...

Step 4.1

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

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

Step 4.2

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

$\sec (x) \tan (x)$