Basic Math Examples

Arctg $(\frac{- 2 \sqrt{3} + 3 i}{3})$

Step 1

Remove parentheses.

$\frac{- 2 \sqrt{3} + 3 i}{3}$

Step 2

Factor $- 1$ out of $- 2 \sqrt{3}$ .

$\frac{- (2 \sqrt{3}) + 3 i}{3}$

Step 3

Factor $- 1$ out of $3 i$ .

$\frac{- (2 \sqrt{3}) - (- 3 i)}{3}$

Step 4

Factor $- 1$ out of $- (2 \sqrt{3}) - (- 3 i)$ .

$\frac{- (2 \sqrt{3} - 3 i)}{3}$

Step 5

Simplify the expression.

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Step 5.1

Rewrite $- (2 \sqrt{3} - 3 i)$ as $- 1 (2 \sqrt{3} - 3 i)$ .

$\frac{- 1 (2 \sqrt{3} - 3 i)}{3}$

Step 5.2

Move the negative in front of the fraction.

$- \frac{2 \sqrt{3} - 3 i}{3}$