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Math Help - Euler form

  1. #1
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    Euler form

    Hi,

    Simply the following expressions fully, working by hand. Give your answer in the form a+bi.

    [4*cos(pie/12) + 4i*sin(pie/12)]^6



    If there is anything unclear in the question, let me know, thanks in advance.
    Last edited by Moon Hoplite; January 31st 2009 at 05:58 PM. Reason: spelling
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  2. #2
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    Quote Originally Posted by Moon Hoplite View Post
    Hi,

    Simply the following expressions fully, working by hand. Give your answer in the form a+bi.

    [4*cos(pie/12) + 4i*sin(pie/12)]^6



    If there is anything unclear in the question, let me know, thanks in advance.
    From de Moivre's Theorem: 4^6 \text{cis} \left( 6 \cdot \frac{\pi}{12}\right).

    You can convert this to cartesian form ....
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