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Math Help - How to calculate the Fourier series

  1. #1
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    Exclamation How to calculate the Fourier series

    so f(x) = 2sin(t)cos(t)

    it has odd symertry, -f(x) = f(-x). but i dont know how relevent this is
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  2. #2
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    Re: How to calculate the Fourier series

    I presume you know the basic formulas?
    The coefficient of "cos(nx)" is a_n= \frac{1}{\pi}\int_{-\pi}^\pi (2 sin(t)cos(t))cos(nt)dt
    The coefficient of "sin(nx)" is b_n= \frac{1}{\pi}\int_{-\pi}^\pi (2sin(t)cos(t) sin(nt)dt

    Because 2sin(t)cos(t) is an odd function, its Fourier series includes only odd terms- that is no cos(nx) term. [itex]a_n= 0[/itex] for all n.
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