(a) Graphically show that the even terms (n even) of the Fourier sine series of any function on 0 ≤ x ≤ L are odd |(antisymmetric) around x = L/2.
(b) Consider a function f(x) that is odd around x = L/2. Show that the odd coefficients (n odd) of the Fourier sine series of f(x) on 0 ≤ x ≤ L are zero.
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