Polar and Coordinate Forms of Complex Numbers

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) ifandif

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

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