Trigonometry Examples

$(\frac{\frac{2 π}{3}}{2}) \cdot 18^{2}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{2 π}{3} \cdot \frac{1}{2} \cdot 18^{2}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $2 π$ .

$\frac{2 (π)}{3} \cdot \frac{1}{2} \cdot 18^{2}$

Step 2.2

Cancel the common factor.

$\frac{2 π}{3} \cdot \frac{1}{2} \cdot 18^{2}$

Step 2.3

Rewrite the expression.

$\frac{π}{3} \cdot 18^{2}$

$\frac{π}{3} \cdot 18^{2}$

Step 3

Raise $18$ to the power of $2$ .

$\frac{π}{3} \cdot 324$

Step 4

Cancel the common factor of $3$ .

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Step 4.1

Factor $3$ out of $324$ .

$\frac{π}{3} \cdot (3 (108))$

Step 4.2

Cancel the common factor.

$\frac{π}{3} \cdot (3 \cdot 108)$

Step 4.3

Rewrite the expression.

$π \cdot 108$

$π \cdot 108$

Step 5

Move $108$ to the left of $π$ .

$108 π$

Step 6

The result can be shown in multiple forms.

Exact Form:

$108 π$

Decimal Form:

$339.29200658 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$