Complex numbers are a funny thing. Complex numbers are numbers that are made up a “real component”, and an “imaginary component”.

Let Z = A complex number

$Z=X+iY$There also exists what is known as the * complex conjugate*. The complex conjugate is described as:

- X and Y are real numbers, with i being an
*imaginary component*. Y here is scaling the imaginary component.

To find the magnitude of Z, you can

$∣Z∣=a_{2}+b_{2} $ $i=−1 $ $i_{2}=−1$Complex numbers can be:

- Added
- Subtracted
- Multiplied
- Divided

Complex numbers can also be found in **polar form**. **Polar form is made up of:**

The magnitude of Z, times *Euler’s formula*. *Euler’s formula* is:

The last thing to talk about here, is **Demoivre’s Theorem**.

It is a method of proving trigonometric identities.