Modulus-Argument+Form

Modulus-Argument or Polar form is a way of writing complex numbers that is related to the Argand Diagram. Take 3+4i: There is two parts to working this out. First you need to work out the modulus of the compex number which is the distance from the origin to the point of the complex number. This can be done by using Pythagoras' Theorem so the modulus is: To find the argument, trigonometry is needed. The argument is the angle from the x-axis to the line that makes up the the modulus. So for our complex number we need to do:

(rounded to 2 decimal places)

So this makes the modulus 5 and the argument 53.13