Trigonometry Examples

$345$

Step 1

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

$345 ° \cdot \frac{π}{180 °}$ radians

Step 2

Cancel the common factor of $15$ .

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Step 2.1

Factor $15$ out of $345$ .

$15 (23) \cdot \frac{π}{180}$ radians

Step 2.2

Factor $15$ out of $180$ .

$15 \cdot 23 \cdot \frac{π}{15 \cdot 12}$ radians

Step 2.3

Cancel the common factor.

$15 \cdot 23 \cdot \frac{π}{15 \cdot 12}$ radians

Step 2.4

Rewrite the expression.

$23 \cdot \frac{π}{12}$ radians

Step 3

Combine $23$ and $\frac{π}{12}$ .

$\frac{23 π}{12}$ radians