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FS coefficients

Discussion in 'Homework Help' started by mo2015mo, Nov 11, 2013.

  1. mo2015mo

    Thread Starter Member

    May 9, 2013
    157
    1
    Hi guys.. :)

    I founded FS coefficients for the questions as attached photo
    By converts all terms of X(t) into exponential form ,
    Co = 5
    C1 = 1 , C-1 = 1
    C2 = 2*exp(pi/6) , C-2 = 2*exp(-pi/6)
    C3 = 3/2 * exp(-pi/2) , C-3 =3/2 * exp(pi/2)
    But How i find Ck in general to represent it in any forms of FS(complex exp. form , combined trigonometric form and trigonometric form), i tried to find it as attached photo. Is my solution correct or not?? and Can i putting Ck in FS.

    please help me and thanks in advance
     
  2. anhnha

    Well-Known Member

    Apr 19, 2012
    866
    61
    I don't want to simplify that by hand because it is very complicated and time-consuming and maybe not so important. And from this, you may reverse engineer how to simplify that expression!
    Here is my result:

    [​IMG]
     
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