Show that the Chebyshev polynomials have the following properties: (a) 2Tm(x)Tn(x) = Tm+n(x) + Tm-n(x), for m
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(a) 2Tm(x)Tn(x) = Tm+n(x) + Tm-n(x), for m > n
(b) Tm(Tn(x)) = Tmn(x)
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