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Unformatted text preview: trigonometric form (sometimes called the polar form ) of the complex number z : For any complex number z = x + yi , we can write z = r (cos + i sin ) , where (6.3) r =  z  = R x 2 + y 2 and = the argument of z . The representation z = r (cos + i sin ) is often abbreviated as: z = r cis (6.4) In the special case z = = + i , the argument is undened since r = z  = 0. Also, note that the argument can be replaced by + 360 k or + k , depending on whether you are using degrees or radians, respectively, for k = 0, 1, 2, . .. . Note also that for z = x + yi with r = z  , must satisfy tan = y x , cos = x r , sin = y r ....
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 Fall '11
 Dr.Cheun
 Calculus, Complex Numbers

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