Trigonometry Examples

$- 330 °$

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

Step 4

Move the negative in front of the fraction.

$- \frac{11 π}{6}$ radians