Trigonometry Examples

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

Step 1

Separate fractions.

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

Step 2

Rewrite $\tan (10)$ in terms of sines and cosines.

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

Step 3

Multiply by the reciprocal of the fraction to divide by $\frac{\sin (10)}{\cos (10)}$ .

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

Step 4

Convert from $\frac{\cos (10)}{\sin (10)}$ to $\cot (10)$ .

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

Step 5

Divide $30$ by $1$ .

$30 \cot (10)$

Step 6

The result can be shown in multiple forms.

Exact Form:

$30 \cot (10)$

Decimal Form:

$170.13845458 \dots$