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If A(alpha)=[[cos alpha, sin alpha],[ ...

If `A_(alpha)=[[cos alpha, sin alpha],[ -sin alpha , cos alpha]]`, then prove that
i) `A_(alpha ). A_(beta)=A_(alpha + beta)`
ii) `(A_alpha)^n=[[cos n alpha, sin n alpha],[ -sin n alpha, cos n alpha]]` for every positive integer `n`.

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