Trigonometry Examples

$2 \tan (a) \cos (b)$

Step 1

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

$2 \frac{\sin (a)}{\cos (a)} \cos (b)$

Step 2

Combine $2$ and $\frac{\sin (a)}{\cos (a)}$ .

$\frac{2 \sin (a)}{\cos (a)} \cos (b)$

Step 3

Combine $\frac{2 \sin (a)}{\cos (a)}$ and $\cos (b)$ .

$\frac{2 \sin (a) \cos (b)}{\cos (a)}$

Step 4

Separate fractions.

$\frac{2 \cos (b)}{1} \cdot \frac{\sin (a)}{\cos (a)}$

Step 5

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

$\frac{2 \cos (b)}{1} \tan (a)$

Step 6

Divide $2 \cos (b)$ by $1$ .

$2 \cos (b) \tan (a)$