Trigonometry Examples

$\frac{\sin (60)}{18 \sqrt{3}}$

Step 1

The exact value of $\sin (60)$ is $\frac{\sqrt{3}}{2}$ .

$\frac{\frac{\sqrt{3}}{2}}{18 \sqrt{3}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{\sqrt{3}}{2} \cdot \frac{1}{18 \sqrt{3}}$

Step 3

Cancel the common factor of $\sqrt{3}$ .

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Step 3.1

Factor $\sqrt{3}$ out of $18 \sqrt{3}$ .

$\frac{\sqrt{3}}{2} \cdot \frac{1}{\sqrt{3} \cdot 18}$

Step 3.2

Cancel the common factor.

$\frac{\sqrt{3}}{2} \cdot \frac{1}{\sqrt{3} \cdot 18}$

Step 3.3

Rewrite the expression.

$\frac{1}{2} \cdot \frac{1}{18}$

Step 4

Multiply $\frac{1}{2}$ by $\frac{1}{18}$ .

$\frac{1}{2 \cdot 18}$

Step 5

Multiply $2$ by $18$ .

$\frac{1}{36}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{36}$

Decimal Form:

$0.02\overline{7}$