Convert from Radians to Degrees arctan(-( square root of 3)/3)

$\arctan (- \frac{\sqrt{3}}{3})$

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

$(\arctan (- \frac{\sqrt{3}}{3})) \cdot \frac{180 °}{π}$

The exact value of $\arctan (- \frac{\sqrt{3}}{3})$ is $- \frac{π}{6}$ .

$- \frac{π}{6} \cdot \frac{180}{π}$

Cancel the common factor of $π$ .

Move the leading negative in $- \frac{π}{6}$ into the numerator.

$\frac{- π}{6} \cdot \frac{180}{π}$

Factor $π$ out of $- π$ .

$\frac{π \cdot - 1}{6} \cdot \frac{180}{π}$

Cancel the common factor.

$\frac{π \cdot - 1}{6} \cdot \frac{180}{π}$

Rewrite the expression.

$\frac{- 1}{6} \cdot 180$

Cancel the common factor of $6$ .

Factor $6$ out of $180$ .

$\frac{- 1}{6} \cdot (6 (30))$

Cancel the common factor.

$\frac{- 1}{6} \cdot (6 \cdot 30)$

Rewrite the expression.

$- 1 \cdot 30$

Multiply $- 1$ by $30$ .

$- 30$

Convert to a decimal.

$- 30 °$