Question: Write a computer module call Cheb(n,x) for evaluating T,(r). Use the recursion formula Tk+1(x) = 2xTk(r) - Tk-1(1), k 1, To(x) = 1, T(x)

Write a computer module call Cheb(n,x) for evaluating T,(r). Use the recursion formula Tk+1(x) = 2xTk(r) - Tk-1(1), k 1, To(x) = 1, T(x) = x. Test the program on these 15 cases: n = 0, 1,3,6, 12 and r = 0,-1,0.5. Question 2 Show that, for any natural number N, cos(o+ka) = k=0 sin (N+1) cos(+4) sin

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