Trigonometry Examples

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

Step 1

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

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

Step 2

Separate fractions.

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

Step 3

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

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

Step 4

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

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