Trigonometry Examples

$θ = 300 °$

Step 1

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

$θ + 300 ° \cdot \frac{π}{180 °}$ radians

Step 2

Cancel the common factor of $60$ .

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Step 2.1

Factor $60$ out of $300$ .

$θ + 60 (5) \cdot \frac{π}{180}$ radians

Step 2.2

Factor $60$ out of $180$ .

$θ + 60 \cdot 5 \cdot \frac{π}{60 \cdot 3}$ radians

Step 2.3

Cancel the common factor.

$θ \cdot 60 \cdot 5 \cdot \frac{π}{60 \cdot 3}$ radians

Step 2.4

Rewrite the expression.

$θ + 5 \cdot \frac{π}{3}$ radians

$θ + \frac{5 π}{3}$ radians