Fourier series

Discussion in 'Homework Help' started by ericyeoh, Oct 9, 2011.

  1. ericyeoh

    Thread Starter Active Member

    Aug 2, 2009
    58
    0
    Guys,

    Need guidance from u guys, if question given determine all then non-zero fourier coefficient in a periodic function f(t) = 5 +cos^2 (t) V.

    Should i start to integrate the function from -infinity to infinity?

    F(t) = A0/2 + Intergrate ( an cos wt + bn sin wt) ?
     
  2. t_n_k

    AAC Fanatic!

    Mar 6, 2009
    5,448
    782
    Keep in mind that one may re-write

    cos^2t=\frac{1+cos2t}{2}

    using the known trig identities.

    Make the substitution for the cos^2t term into the given f(t).

    Henceforth your problem in finding the non-zero Fourier series coefficients reduces almost to a solution by inspection.
     
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