Polar Form

Geometry

Based on Polar Coordinates

Complex Plane.png
Complex Conjugate and Modulus.png

Proof of the Triangle Inequality

Polar Form

Complex Polar Form.png
Where

SYR CXR TYX

so

Definition

polar form of a complex number :

Note the polar form is not unique

Since adding by radians (see Graphing)

CIS

Sometimes, the notation is used instead of

Definition

Such that:

Polar Form Multiplication (PMC)

Definition

Polar Form Division

Definition