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Complex numbers

  1. Oct 1, 2007 #1
    hi, im trying to solve this equation and i would like some help.
    i've done some of it already and i dont know how to go on from here.

    [tex]z=-\frac{(4-4i)(\sqrt{6}-i\sqrt{2})}{i}\\ =-\frac{(4-4i)(\sqrt{6}-i\sqrt{2})-i}{i(-i)}=(4i+4)(\sqrt{6}-i\sqrt{2})\\ \hspace{6} r=\sqrt{4^{2}+4^{2}}=\sqrt{32}\hspace{6} and \hspace{6} v=\frac{\pi }{4}\hspace{6}[/tex]

    the answer should be in this form a*pi/b
    Last edited: Oct 1, 2007
  2. jcsd
  3. Oct 1, 2007 #2


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    Staff: Mentor

    It looks like you multiplied out (-i)(4-4i) incorrectly....?
  4. Oct 1, 2007 #3


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    Staff Emeritus
    Science Advisor

    What exactly is the question then? You gave an expression of z and now you want the "argument" of z? Any complex number can be written in the form [itex]z= r(cos(\theta)+ i sin(\theta))= r e^{i\theta}[/itex].
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