Trigonometry Examples

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

Step 1

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

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

Step 2

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

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

Step 3

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

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

Step 4

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

$\sin (x) \tan (x)$