Trigonometry Examples

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

Step 1

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

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

Step 2

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

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

Step 3

Combine $\sin (x)$ and $\frac{1}{\cos (x)}$ .

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

Step 4

Cancel the common factor of $\frac{\sin (x)}{\cos (x)}$ .

Tap for more steps...

Step 4.1

Cancel the common factor.

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

Step 4.2

Rewrite the expression.

$1$