Trigonometry Examples

$42 °$

Step 1

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

$42 ° \cdot \frac{π}{180 °}$ radians

Step 2

Cancel the common factor of $6$ .

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Step 2.1

Factor $6$ out of $42$ .

$6 (7) \cdot \frac{π}{180}$ radians

Step 2.2

Factor $6$ out of $180$ .

$6 \cdot 7 \cdot \frac{π}{6 \cdot 30}$ radians

Step 2.3

Cancel the common factor.

$6 \cdot 7 \cdot \frac{π}{6 \cdot 30}$ radians

Step 2.4

Rewrite the expression.

$7 \cdot \frac{π}{30}$ radians

Step 3

Combine $7$ and $\frac{π}{30}$ .

$\frac{7 π}{30}$ radians