Trigonometry Examples

$225 \deg$

Step 1

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

$225 ° \cdot \frac{π}{180 °}$ radians

Step 2

Cancel the common factor of $45$ .

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Step 2.1

Factor $45$ out of $225$ .

$45 (5) \cdot \frac{π}{180}$ radians

Step 2.2

Factor $45$ out of $180$ .

$45 \cdot 5 \cdot \frac{π}{45 \cdot 4}$ radians

Step 2.3

Cancel the common factor.

$45 \cdot 5 \cdot \frac{π}{45 \cdot 4}$ radians

Step 2.4

Rewrite the expression.

$5 \cdot \frac{π}{4}$ radians

Step 3

Combine $5$ and $\frac{π}{4}$ .

$\frac{5 π}{4}$ radians