## Polar and Coordinate Forms of Complex Numbers - Argand Diagrams

A complex number z may take one of two forms:

Coordinate form:or polar form:

These are both illustrated on the Argand Diagram below.

Polar can be converted to coordinate form and vice versa.

**Converting Polar to Coordinate Form **

where 'Re' means 'the real part of' and 'Im' means 'the imaginary part of'.

**Converting Coordinate to Polar Form **

(in radians).

These are just the normal equations for converting polar coordinates into rectangular coordinates and vice versa.