Trigonometry Examples

$330 \deg$

Step 1

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

$330 ° \cdot \frac{π}{180 °}$ radians

Step 2

Cancel the common factor of $30$ .

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Step 2.1

Factor $30$ out of $330$ .

$30 (11) \cdot \frac{π}{180}$ radians

Step 2.2

Factor $30$ out of $180$ .

$30 \cdot 11 \cdot \frac{π}{30 \cdot 6}$ radians

Step 2.3

Cancel the common factor.

$30 \cdot 11 \cdot \frac{π}{30 \cdot 6}$ radians

Step 2.4

Rewrite the expression.

$11 \cdot \frac{π}{6}$ radians

Step 3

Combine $11$ and $\frac{π}{6}$ .

$\frac{11 π}{6}$ radians