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Complex numbers in polar form

  1. Aug 19, 2009 #1
    1. The problem statement, all variables and given/known data
    Evaluate the square 0f 5e^(3(pi)i)/4 without using Cartesian form, and also the three different products.


    2. Relevant equations
    e^i(theta) = cos(theta) + isin(theta)?


    3. The attempt at a solution
    I have absolutely no idea here, nothing in my notes even begins to suggest how I can answer this.
     
  2. jcsd
  3. Aug 19, 2009 #2

    Cyosis

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    All you really need to know is the equation you listed. The square of e^x is (e^x)^2=e^(2x), use this information to solve your problem.
     
  4. Aug 19, 2009 #3
    yes but what do they mean by the 3 products?
     
  5. Aug 19, 2009 #4

    Cyosis

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    With not using the three products I would guess they mean to not use:

    [tex]
    (\cos x+i\sin x)^2=\cos^2x-\sin^2 x+2i\cos x \sin x
    [/tex]
     
  6. Aug 19, 2009 #5
    it says to evaluate the three products of the complex number
     
  7. Aug 19, 2009 #6

    Cyosis

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    Then just remove the 'nots' in my previous post.
     
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