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polar coordinates and complex numbers 

A unit of study in General Specialist Math. It involves maping out points on both Argand diagrams and basic cartesian planes.
"Complex numbers" involve a set of Real (Re) and Imaginary (Im) numbers. Imaginary numbers are represented by the letter i and are represented on a Argand diagram.
polar coordinates and complex numbers are useful for solving other geometric equations

complex number 

(MATHEMATICS) a number consisting of a real number and an imaginary number; imaginary numbers are multiples of the square root of -1.
You need a complex number to express the value of an electromagnetic wave function.
complex number by Abu Yahya April 23, 2010