Trigonometry Examples

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

Step 1

Factor $\cos (a)$ out of $\cos^{2} (a)$ .

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

Step 2

Separate fractions.

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

Step 3

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

$\sin (a) + \frac{\cos (a)}{1} \cot (a)$

Step 4

Divide $\cos (a)$ by $1$ .

$\sin (a) + \cos (a) \cot (a)$