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Question 1 Write a computer module call Cheb(n,x) for evaluating Tn(x). Use the recursion forrmula Tk+1(x)=2xTA(x)Tk1(x),k1,T0(x)=1,T1(x)=x. Test the program on these 15 cases: n=0,1,3,6,12 and

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Question 1 Write a computer module call Cheb(n,x) for evaluating Tn(x). Use the recursion forrmula Tk+1(x)=2xTA(x)Tk1(x),k1,T0(x)=1,T1(x)=x. Test the program on these 15 cases: n=0,1,3,6,12 and x=0,1,0.5. Question 2 Show that, for any natural number N, k=0Ncos(+k)=sin2sin2(N+1)cos(+2N)

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