Wednesday, November 3, 2010

Polar complex numbers

A complex number is a number that consists of both imaginary number and real number.

Polar complex numbers: A complex number can be represented in the polar forms: rcos θ + irsin θ, r(cos θ + isin θ), or rcis θ, where r is the modulus and θ is called the argument.


Example of polar form of a complex number:
The polar coordinate of - + 2i can be written as follows:
x = - , y = 2r
=
=
= sin θ = = sin θ = 0.7559θ = 180° - 49° = 131°
The polar form is r(cos θ + isin θ) = (cos131° + isin131°)

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