Trigonometry Examples

$36 ° \cdot 10$

Step 1

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

$36 ° \cdot 10 \cdot \frac{π}{180 °}$ radians

Step 2

Multiply $36$ by $10$ .

$360 \cdot \frac{π}{180}$ radians

Step 3

Cancel the common factor of $180$ .

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Step 3.1

Factor $180$ out of $360$ .

$180 (2) \cdot \frac{π}{180}$ radians

Step 3.2

Cancel the common factor.

$180 \cdot 2 \cdot \frac{π}{180}$ radians

Step 3.3

Rewrite the expression.

$2 \cdot π$ radians

$2 π$ radians