Algebra Examples

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

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

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

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

$- \frac{π}{3} \cdot \frac{180}{π}$

Cancel the common factor of $π$ .

Tap for more steps...

Move the leading negative in $- \frac{π}{3}$ into the numerator.

$\frac{- π}{3} \cdot \frac{180}{π}$

Factor $π$ out of $- π$ .

$\frac{π \cdot - 1}{3} \cdot \frac{180}{π}$

Cancel the common factor.

$\frac{π \cdot - 1}{3} \cdot \frac{180}{π}$

Rewrite the expression.

$\frac{- 1}{3} \cdot 180$

Cancel the common factor of $3$ .

Tap for more steps...

Factor $3$ out of $180$ .

$\frac{- 1}{3} \cdot (3 (60))$

Cancel the common factor.

$\frac{- 1}{3} \cdot (3 \cdot 60)$

Rewrite the expression.

$- 1 \cdot 60$

Multiply $- 1$ by $60$ .

$- 60$

Convert to a decimal.

$- 60 °$