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Given that: f(x) = { cos x , 0 < x < 2π (a) Sketch extended...

Given that: f(x) = { cos x , 0 < x < 2π

(a) Sketch extended periodic f(x) from -4π <x < 4π, and justify whether f (x) is even function, odd function or neither.

(b) Produce f (x) in a Fourier series.

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