Basic Math Examples

Arctg

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

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

Step 1

Remove parentheses.

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

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

Step 2

Factor

- 1

$- 1$ out of

- 2 \sqrt{3}

$- 2 \sqrt{3}$ .

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

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

Step 3

Factor

- 1

$- 1$ out of

3 i

$3 i$ .

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

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

Step 4

Factor

- 1

$- 1$ out of

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

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

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

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

Step 5

Simplify the expression.

Tap for more steps...

Step 5.1

Rewrite

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

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

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

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

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

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

Step 5.2

Move the negative in front of the fraction.

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

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

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

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

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$