Trigonometry Examples

$\frac{10}{\tan (30)}$

Step 1

Separate fractions.

$\frac{10}{1} \cdot \frac{1}{\tan (30)}$

Step 2

Rewrite $\tan (30)$ in terms of sines and cosines.

$\frac{10}{1} \cdot \frac{1}{\frac{\sin (30)}{\cos (30)}}$

Step 3

Multiply by the reciprocal of the fraction to divide by $\frac{\sin (30)}{\cos (30)}$ .

$\frac{10}{1} \cdot \frac{\cos (30)}{\sin (30)}$

Step 4

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

$\frac{10}{1} \cot (30)$

Step 5

Divide $10$ by $1$ .

$10 \cot (30)$

Step 6

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

$10 \sqrt{3}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$10 \sqrt{3}$

Decimal Form:

$17.32050807 \dots$