Trigonometry Examples

$\frac{1}{2} \cdot 30^{2} \cdot \frac{5 π}{6}$

Step 1

Raise $30$ to the power of $2$ .

$\frac{1}{2} \cdot 900 \cdot \frac{5 π}{6}$

Step 2

Cancel the common factor of $6$ .

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Step 2.1

Factor $6$ out of $\frac{1}{2} \cdot 900$ .

$6 (\frac{1}{2} \cdot 150) \cdot \frac{5 π}{6}$

Step 2.2

Cancel the common factor.

$6 (\frac{1}{2} \cdot 150) \cdot \frac{5 π}{6}$

Step 2.3

Rewrite the expression.

$\frac{1}{2} \cdot 150 \cdot (5 π)$

$\frac{1}{2} \cdot 150 \cdot (5 π)$

Step 3

Combine $\frac{1}{2}$ and $150$ .

$\frac{150}{2} \cdot (5 π)$

Step 4

Combine $5$ and $\frac{150}{2}$ .

$\frac{5 \cdot 150}{2} \cdot π$

Step 5

Multiply $5$ by $150$ .

$\frac{750}{2} \cdot π$

Step 6

Combine $\frac{750}{2}$ and $π$ .

$\frac{750 π}{2}$

Step 7

Cancel the common factor of $750$ and $2$ .

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Step 7.1

Factor $2$ out of $750 π$ .

$\frac{2 (375 π)}{2}$

Step 7.2

Cancel the common factors.

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Step 7.2.1

Factor $2$ out of $2$ .

$\frac{2 (375 π)}{2 (1)}$

Step 7.2.2

Cancel the common factor.

$\frac{2 (375 π)}{2 \cdot 1}$

Step 7.2.3

Rewrite the expression.

$\frac{375 π}{1}$

Step 7.2.4

Divide $375 π$ by $1$ .

$375 π$

$375 π$

$375 π$

Step 8

The result can be shown in multiple forms.

Exact Form:

$375 π$

Decimal Form:

$1178.09724509 \dots$

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