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Math Help - Complex Number Problem

  1. #1
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    Complex Number Problem

    |2e^(i*theta) - i |
    |______________|
    |
    |ie^(i*theta) + 2 |


    so 2 multiplied by euler to the power of i * theta all subtracted by i divided by i mulitplied by euler to the power of i * theta added by 2

    this is all in abs. value the question asks to "Find"

    P.S sry i dont know how to make it look all nice and math like
    Last edited by Hamm; September 18th 2008 at 05:54 PM. Reason: added P.S
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  2. #2
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    Quote Originally Posted by Hamm View Post
    |2e^(i*theta) - i |
    |______________|
    |
    |ie^(i*theta) + 2 |


    so 2 multiplied by euler to the power of i * theta all subtracted by i divided by i mulitplied by euler to the power of i * theta added by 2

    this is all in abs. value the question asks to "Find"

    P.S sry i dont know how to make it look all nice and math like
    Let z = \frac{2 e^{i \theta} - i}{i e^{i \theta} + 2}.
    Then
    |z|^2 = z \overline{z} = \frac{2 e^{i \theta} - i}{i e^{i \theta} + 2} \cdot \frac{2 e^{-i \theta} + i}{-i e^{-i \theta} + 2}

    Multiply it out and simplify-- I think you will find the answer to be very simple.
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  3. #3
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    thank you very much!
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