Trigonometry Examples

$- 225$

Step 1

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

$- 225 ° \cdot \frac{π}{180 °}$ radians

Step 2

Cancel the common factor of $45$ .

Tap for more steps...

Step 2.1

Factor $45$ out of $- 225$ .

$45 (- 5) \cdot \frac{π}{180}$ radians

Step 2.2

Factor $45$ out of $180$ .

$45 \cdot - 5 \cdot \frac{π}{45 \cdot 4}$ radians

Step 2.3

Cancel the common factor.

$45 \cdot - 5 \cdot \frac{π}{45 \cdot 4}$ radians

Step 2.4

Rewrite the expression.

$- 5 \cdot \frac{π}{4}$ radians

Step 3

Combine $- 5$ and $\frac{π}{4}$ .

$\frac{- 5 π}{4}$ radians

Step 4

Move the negative in front of the fraction.

$- \frac{5 π}{4}$ radians