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