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:
 + 2i can be written as follows:x = -
 , y = 2r
, y = 2r=

=

=
 sin θ =
sin θ =  =
 =  sin θ = 0.7559θ = 180° - 49° = 131°
sin θ = 0.7559θ = 180° - 49° = 131°The polar form is r(cos θ + isin θ) =
 (cos131° + isin131°)
(cos131° + isin131°)
 
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