Trigonometry Examples

$- 270 °$

Step 1

To convert degrees to radians, multiply by

$\frac{π}{180 °}$ , since a full circle is

$360 °$ or

$2 π$ radians.

$- 270 ° \cdot \frac{π}{180 °}$ radians

Step 2

Cancel the common factor of

$90$ .

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Step 2.1

Factor

$90$ out of

$- 270$ .

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

Step 2.2

Factor

$90$ out of

$180$ .

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

Step 2.3

Cancel the common factor.

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

Step 2.4

Rewrite the expression.

$- 3 \cdot \frac{π}{2}$ radians

$- 3 \cdot \frac{π}{2}$ radians

Step 3

Combine

$- 3$ and

$\frac{π}{2}$ .

$\frac{- 3 π}{2}$ radians

Step 4

Move the negative in front of the fraction.

$- \frac{3 π}{2}$ radians

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$