Precalculus 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 $1$ .

$2 \cos (B) \tan (A)$