Precalculus Examples

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

Step 1

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

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

Step 2

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

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

Step 3

Multiply the numerator by the reciprocal of the denominator.

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

Step 4

Cancel the common factor of $\sin (x)$ .

Tap for more steps...

Step 4.1

Cancel the common factor.

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

Step 4.2

Rewrite the expression.

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

Step 5

Cancel the common factor of $\cos (x)$ .

Tap for more steps...

Step 5.1

Cancel the common factor.

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

Step 5.2

Rewrite the expression.

$1$