Trigonometry Examples

$\frac{140}{\tan (23)}$

Step 1

Separate fractions.

$\frac{140}{1} \cdot \frac{1}{\tan (23)}$

Step 2

Rewrite $\tan (23)$ in terms of sines and cosines.

$\frac{140}{1} \cdot \frac{1}{\frac{\sin (23)}{\cos (23)}}$

Step 3

Multiply by the reciprocal of the fraction to divide by $\frac{\sin (23)}{\cos (23)}$ .

$\frac{140}{1} \cdot \frac{\cos (23)}{\sin (23)}$

Step 4

Convert from $\frac{\cos (23)}{\sin (23)}$ to $\cot (23)$ .

$\frac{140}{1} \cot (23)$

Step 5

Divide $140$ by $1$ .

$140 \cot (23)$

Step 6

The result can be shown in multiple forms.

Exact Form:

$140 \cot (23)$

Decimal Form:

$329.81933121 \dots$