If n is a positive integer, prove that (1+I)^n+(1-i)^n = 2^(n/2+1)cos( nπ/4)

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If n is an integer then show that(1+i)^2n + (1-i)^2n=2^(n+1) cos n pi /2If n is an integer then show that(1+i)^2n + (1-i)^2n=2^(n+1) cos n pi /2