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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