Trigonometry Examples

$\frac{90}{360} = \frac{17 ft}{2 p r}$

Step 1

Multiply both sides by $2 p r$ .

$\frac{90}{360} (2 p r) = \frac{17 ft}{2 p r} (2 p r)$

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $\frac{90}{360} (2 p r)$ .

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Step 2.1.1.1

Cancel the common factor of $2$ .

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Step 2.1.1.1.1

Factor $2$ out of $360$ .

$\frac{90}{2 (180)} (2 p r) = \frac{17 ft}{2 p r} (2 p r)$

Step 2.1.1.1.2

Factor $2$ out of $2 p r$ .

$\frac{90}{2 (180)} (2 (p r)) = \frac{17 ft}{2 p r} (2 p r)$

Step 2.1.1.1.3

Cancel the common factor.

$\frac{90}{2 \cdot 180} (2 (p r)) = \frac{17 ft}{2 p r} (2 p r)$

Step 2.1.1.1.4

Rewrite the expression.

$\frac{90}{180} (p r) = \frac{17 ft}{2 p r} (2 p r)$

Step 2.1.1.2

Combine $p$ and $\frac{90}{180}$ .

$\frac{p \cdot 90}{180} r = \frac{17 ft}{2 p r} (2 p r)$

Step 2.1.1.3

Combine $\frac{p \cdot 90}{180}$ and $r$ .

$\frac{p \cdot 90 r}{180} = \frac{17 ft}{2 p r} (2 p r)$

Step 2.1.1.4

Cancel the common factor of $90$ and $180$ .

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Step 2.1.1.4.1

Factor $90$ out of $p \cdot 90 r$ .

$\frac{90 (p r)}{180} = \frac{17 ft}{2 p r} (2 p r)$

Step 2.1.1.4.2

Cancel the common factors.

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Step 2.1.1.4.2.1

Factor $90$ out of $180$ .

$\frac{90 (p r)}{90 \cdot 2} = \frac{17 ft}{2 p r} (2 p r)$

Step 2.1.1.4.2.2

Cancel the common factor.

$\frac{90 (p r)}{90 \cdot 2} = \frac{17 ft}{2 p r} (2 p r)$

Step 2.1.1.4.2.3

Rewrite the expression.

$\frac{p r}{2} = \frac{17 ft}{2 p r} (2 p r)$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $\frac{17 ft}{2 p r} (2 p r)$ .

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Step 2.2.1.1

Rewrite using the commutative property of multiplication.

$\frac{p r}{2} = 2 \frac{17 ft}{2 p r} (p r)$

Step 2.2.1.2

Cancel the common factor of $2$ .

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Step 2.2.1.2.1

Factor $2$ out of $2 p r$ .

$\frac{p r}{2} = 2 \frac{17 ft}{2 (p r)} (p r)$

Step 2.2.1.2.2

Cancel the common factor.

$\frac{p r}{2} = 2 \frac{17 ft}{2 (p r)} (p r)$

Step 2.2.1.2.3

Rewrite the expression.

$\frac{p r}{2} = \frac{17 ft}{p r} (p r)$

Step 2.2.1.3

Cancel the common factor of $p r$ .

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Step 2.2.1.3.1

Cancel the common factor.

$\frac{p r}{2} = \frac{17 ft}{p r} (p r)$

Step 2.2.1.3.2

Rewrite the expression.

$\frac{p r}{2} = 17 ft$

Step 3

Rewrite the equation as $17 ft = \frac{p r}{2}$ .

$17 ft = \frac{p r}{2}$