Trigonometry Examples

$\frac{2 \sin (30)}{\cos (30)}$

Step 1

Separate fractions.

$\frac{2}{1} \cdot \frac{\sin (30)}{\cos (30)}$

Step 2

Convert from $\frac{\sin (30)}{\cos (30)}$ to $\tan (30)$ .

$\frac{2}{1} \tan (30)$

Step 3

Divide $2$ by $1$ .

$2 \tan (30)$

Step 4

The exact value of $\tan (30)$ is $\frac{\sqrt{3}}{3}$ .

$2 \frac{\sqrt{3}}{3}$

Step 5

Combine $2$ and $\frac{\sqrt{3}}{3}$ .

$\frac{2 \sqrt{3}}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{2 \sqrt{3}}{3}$

Decimal Form:

$1.15470053 \dots$