B2. The periodic function f(t), of period T, is defined by f(t) = -8 cos in the rangest< (a) How do we know that the Fou

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B2 The Periodic Function F T Of Period T Is Defined By F T 8 Cos In The Rangest A How Do We Know That The Fou 1 (43.44 KiB) Viewed 19 times

B2. The periodic function f(t), of period T, is defined by f(t) = -8 cos in the rangest< (a) How do we know that the Fourier series of f(t) only contains cosine terms? 12%] (b) Given that the Fourier series of f(t) can be written in this form, show that ag=-- 2. 30 2m f(t)= 2 + [ Σ a cos noot, where wo T n=1 [3%) T/2 (c) By using the half range series expression for a symmetric function, a, = f(t) cos nwot dt, or otherwise, find an expression for the a, terms for n 21. [9%]