Trigonometry Examples

- 330 °

$- 330 °$

Step 1

To convert degrees to radians, multiply by

\frac{π}{180 °}

$\frac{π}{180 °}$ , since a full circle is

360 °

$360 °$ or

2 π

$2 π$ radians.

- 330 ° \cdot \frac{π}{180 °}

$- 330 ° \cdot \frac{π}{180 °}$ radians

Step 2

Cancel the common factor of

30

$30$ .

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Step 2.1

Factor

30

$30$ out of

- 330

$- 330$ .

30 (- 11) \cdot \frac{π}{180}

$30 (- 11) \cdot \frac{π}{180}$ radians

Step 2.2

Factor

30

$30$ out of

180

$180$ .

30 \cdot - 11 \cdot \frac{π}{30 \cdot 6}

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