Trigonometry Examples

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

Step 1

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

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

Step 2

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

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

Step 3

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

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

Step 4

Simplify.

Tap for more steps...

Step 4.1

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

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

Step 4.2

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

$\csc (x) \cot (x)$