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Fourier Series of Even and Odd Functions

Find the Fourier series expansion of the functions:

f(t) =

1 if Pi/3<|t|<2Pi/3
0 everywhere else

f(t) =

1 Pi/3 < t < 2Pi/3
-1 -2Pi/3 < t < Pi/3
0 everywhere else

In the interval [-Pi , Pi]


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The solution demonstrates how to calculate the coefficients of a fourier series expansion. It is 8 pages long with full derivations and graphs.