Let x be a constant such that |x| Find T 2 , T 3 and T 4

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Let x be a constant such that |x|

Tn+22xTn+1+T=0, To= 1, T = x

Find T2, T3 and T4 also directly by recursion and deduce that cos(2 cos–1x) = 2x2 – 1 and express cos(3 cos–1x) and cos(4 cos–1x) as polynomials in x.

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