Question: 2. Show 12 12 p(f ) sin(2????kf )df = 0. (i) Show sin(???? + ????) + sin(???? ????) = 2 sin(????) cos(????). (ii)

2. Show ∫

1∕2

−1∕2 p(f ) sin(2????kf )df = 0.

(i) Show sin(???? + ????) + sin(???? − ????) = 2 sin(????) cos(????).

(ii) ∫

1∕2

−1∕2 p(f ) sin(2????kf )df = ∫

1∕2

−1∕2{Co + 2Σ∞j=1 Cj cos(2????jf )} sin(2????kf )df , why?

(iii) Multiply out the terms of the initial integral and simplify using (i) and (ii).

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