Algebra Examples

$\frac{\sin (θ)}{\cos (θ)} + \tan (θ)$

Step 1

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

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

Step 2

Combine the numerators over the common denominator.

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

Step 3

Add $\sin (θ)$ and $\sin (θ)$ .

$\frac{2 \sin (θ)}{\cos (θ)}$

Step 4

Separate fractions.

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

Step 5

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

$\frac{2}{1} \tan (θ)$

Step 6

Divide $2$ by $1$ .

$2 \tan (θ)$