Question

what is -2+2i in polar form

Answer 1

Polar & Exponential Form



Most people are familiar with complex numbers in the form , however there are some alternate forms that are useful at times. In this section we’ll look at both of those as well as a couple of nice facts that arise from them.



Geometric Interpretation

Before we get into the alternate forms we should first take a very brief look at a natural geometric interpretation to a complex numbers since this will lead us into our first alternate form.



Consider the complex number . We can think of this complex number as either the point in the standard Cartesian coordinate system or as the vector that starts at the origin and ends at the point . An example of this is shown in the figure below.

Answer 2

http://tutorial.math.lamar.edu/Extras/ComplexPrimer/Forms.aspx

Answer 3

(-2) + (2 * i)

Answer 4

\[r=2\sqrt{2}\]
\[2\sqrt{2}(\cos135+isin135)\]