Prove that An - cos n- if it is know that A1 - cos - - A2 - cos 2 - and for every natural number m - 2- the relations Am - 2Am - 1cos - - Am - 2 hold-

The statement is valid for n = 1 and n = 2Now let #160; A_m 2 = cos(m 2)θ , #160; #160; #160; #160; #160; #160; #160; ...

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Higher Order Derivatives

Prove that ...

Question

Prove that $A_{n} = c o s n θ$ if it is know that
$A_{1} = c o s θ, A_{2} = c o s 2 θ$
and for every natural number m > 2, the relations
$A_{m} = 2 A_{(m - 1)} c o s θ - A_{m - 2}$ hold.

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