Trigonometry Examples

$a = \frac{8}{\tan (36)}$

Step 1

Separate fractions.

$a = \frac{8}{1} \cdot \frac{1}{\tan (36)}$

Step 2

Rewrite $\tan (36)$ in terms of sines and cosines.

$a = \frac{8}{1} \cdot \frac{1}{\frac{\sin (36)}{\cos (36)}}$

Step 3

Multiply by the reciprocal of the fraction to divide by $\frac{\sin (36)}{\cos (36)}$ .

$a = \frac{8}{1} \cdot \frac{\cos (36)}{\sin (36)}$

Step 4

Convert from $\frac{\cos (36)}{\sin (36)}$ to $\cot (36)$ .

$a = \frac{8}{1} \cot (36)$

Step 5

Divide $8$ by $1$ .

$a = 8 \cot (36)$

Step 6

Evaluate $\cot (36)$ .

$a = 8 \cdot 1.37638192$

Step 7

Multiply $8$ by $1.37638192$ .

$a = 11.01105536$