Trigonometry Examples

$45 °$

Step 1

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

$45 ° \cdot \frac{π}{180 °}$ radians

Step 2

Cancel the common factor of $45$ .

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Step 2.1

Factor $45$ out of $180$ .

$45 \cdot \frac{π}{45 (4)}$ radians

Step 2.2

Cancel the common factor.

$45 \cdot \frac{π}{45 \cdot 4}$ radians

Step 2.3

Rewrite the expression.

$\frac{π}{4}$ radians