Trigonometry Examples

$d = \frac{2}{\tan (x)}$

Step 1

Separate fractions.

$d = \frac{2}{1} \cdot \frac{1}{\tan (x)}$

Step 2

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

$d = \frac{2}{1} \cdot \frac{1}{\frac{\sin (x)}{\cos (x)}}$

Step 3

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

$d = \frac{2}{1} \cdot \frac{\cos (x)}{\sin (x)}$

Step 4

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

$d = \frac{2}{1} \cot (x)$

Step 5

Divide $2$ by $1$ .

$d = 2 \cot (x)$