Algebra Examples

$\frac{2}{\sin (2 θ)} - \frac{\sin (θ)}{\cos (θ)}$

Step 1

Separate fractions.

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

Step 2

Convert from $\frac{1}{\sin (2 θ)}$ to $\csc (2 θ)$ .

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

Step 3

Divide $2$ by $1$ .

$2 \csc (2 θ) - \frac{\sin (θ)}{\cos (θ)}$

Step 4

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

$2 \csc (2 θ) - \tan (θ)$