Trigonometry Examples

$θ = 270 °$

Step 1

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

$θ + 270 ° \cdot \frac{π}{180 °}$ radians

Step 2

Cancel the common factor of $90$ .

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Step 2.1

Factor $90$ out of $270$ .

$θ + 90 (3) \cdot \frac{π}{180}$ radians

Step 2.2

Factor $90$ out of $180$ .

$θ + 90 \cdot 3 \cdot \frac{π}{90 \cdot 2}$ radians

Step 2.3

Cancel the common factor.

$θ \cdot 90 \cdot 3 \cdot \frac{π}{90 \cdot 2}$ radians

Step 2.4

Rewrite the expression.

$θ + 3 \cdot \frac{π}{2}$ radians

$θ + \frac{3 π}{2}$ radians