Precalculus Examples

$\sin (x) \sec (x) + \cos (x) \csc (x)$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

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

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

Step 1.2

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

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

Step 1.3

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

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

Step 1.4

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

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

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

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

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

Step 2.2

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

$\tan (x) + \cot (x)$