Show that, if a wave cos kx centred on A (so that x is measured from A)

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Show that, if a wave cos kx centred on A (so that x is measured from A) interferes with a similar wave cos k'» centred on B (with x measured from B) a distance R away, then constructive interference occurs in the intermediate region when k = k' = rr/2R and destructive interference if kR = ½ π and k' R = 3/2π.
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