Trigonometry Examples

$- 235$

Step 1

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

$- 235 ° \cdot \frac{π}{180 °}$ radians

Step 2

Cancel the common factor of $5$ .

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Step 2.1

Factor $5$ out of $- 235$ .

$5 (- 47) \cdot \frac{π}{180}$ radians

Step 2.2

Factor $5$ out of $180$ .

$5 \cdot - 47 \cdot \frac{π}{5 \cdot 36}$ radians

Step 2.3

Cancel the common factor.

$5 \cdot - 47 \cdot \frac{π}{5 \cdot 36}$ radians

Step 2.4

Rewrite the expression.

$- 47 \cdot \frac{π}{36}$ radians

Step 3

Combine $- 47$ and $\frac{π}{36}$ .

$\frac{- 47 π}{36}$ radians

Step 4

Move the negative in front of the fraction.

$- \frac{47 π}{36}$ radians