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Argument

A complex number z = x + iy can be thought of as a point (x,y) in the plane.

In polar coordinates, x = r cos t and x = r sin t.

Thus any complex number can be written as z = x + iy = r cos t + ir sin t = r (cos t + i sin t) where MATH

The angle t is called the amplitude or argument of z.

The argument is not unique, but any two arguments of z differ by an integer multiple of 2p.

The argument that lies between between -p and p is denoted by arg z

 For example,MATH


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Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.

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