Trigonometry Examples

$\frac{3}{8} \cdot 360$

Step 1

To convert degrees to radians, multiply by $\frac{π}{180 °}$ , since a full circle is $360 °$ or $2 π$ radians.

$\frac{3}{8} \cdot 360 ° \cdot \frac{π}{180 °}$ radians

Step 2

Cancel the common factor of $180$ .

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Step 2.1

Factor $180$ out of $\frac{3}{8} \cdot 360$ .

$180 (\frac{3}{8} \cdot 2) \cdot \frac{π}{180}$ radians

Step 2.2

Cancel the common factor.

$180 (\frac{3}{8} \cdot 2) \cdot \frac{π}{180}$ radians

Step 2.3

Rewrite the expression.

$\frac{3}{8} \cdot 2 \cdot π$ radians

Step 3

Combine $\frac{3}{8}$ and $2$ .

$\frac{3 \cdot 2}{8} \cdot π$ radians

Step 4

Multiply $3$ by $2$ .

$\frac{6}{8} \cdot π$ radians

Step 5

Combine $\frac{6}{8}$ and $π$ .

$\frac{6 π}{8}$ radians

Step 6

Cancel the common factor of $6$ and $8$ .

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Step 6.1

Factor $2$ out of $6 π$ .

$\frac{2 (3 π)}{8}$ radians

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor $2$ out of $8$ .

$\frac{2 (3 π)}{2 (4)}$ radians

Step 6.2.2

Cancel the common factor.

$\frac{2 (3 π)}{2 \cdot 4}$ radians

Step 6.2.3

Rewrite the expression.

$\frac{3 π}{4}$ radians