Find the complex Fourier series of the function f(x) shown below. f(x)=x_0≤x≤27 and f(x+2) = f(x). Evaluate the coefficients up to n = +9. Write the function as a sum of the first +9 harmonic terms with the appropriate coefficients.

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Q: f (x) AN X

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A: a0=12π∫-ππxdx=22π∫0πxdx=1πx220π=1ππ22=π2

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Q: (c) f(x) = cos² (3x)

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