Trigonometry Examples

220

$220$

Step 1

To convert degrees to radians, multiply by

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

$360 °$ or

$2 π$ radians.

$220 ° \cdot \frac{π}{180 °}$ radians

Step 2

Cancel the common factor of

$20$ .

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Step 2.1

Factor

$20$ out of

$220$ .

$20 (11) \cdot \frac{π}{180}$ radians

Step 2.2

Factor

$20$ out of

$180$ .

$20 \cdot 11 \cdot \frac{π}{20 \cdot 9}$ radians

Step 2.3

Cancel the common factor.

$20 \cdot 11 \cdot \frac{π}{20 \cdot 9}$ radians

Step 2.4

Rewrite the expression.

$11 \cdot \frac{π}{9}$ radians

$11 \cdot \frac{π}{9}$ radians

Step 3

Combine

$11$ and

$\frac{π}{9}$ .

$\frac{11 π}{9}$ radians

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$