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Math Help - converting rectangular complex to polar

  1. #1
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    converting rectangular complex to polar

    Question is to convert this into polar form
    <br />
z = (1 + \sqrt 3 i)^5 <br />

    Is what I have below correct?
    <br />
 = 2^5 (\cos (\frac{\pi }{3}) + i\sin (\frac{\pi }{3}))<br />
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  2. #2
    MHF Contributor

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    Don't forget to multiply the argument by 5 as well, thus getting {5\pi\over 3}. And I would rather expect a notation with an exponential, but your teacher may want it written as you did, I don't know.
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