Trigonometry Examples

$\cos (x) + \frac{\sin^{2} (x)}{\cos (x)}$

Step 1

Factor $\sin (x)$ out of $\sin^{2} (x)$ .

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

Step 2

Separate fractions.

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

Step 3

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

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

Step 4

Divide $\sin (x)$ by $1$ .

$\cos (x) + \sin (x) \tan (x)$