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Prove that (a) (1+i)^n+(1-i)^n=2^((n+2)/...

Prove that `(a) (1+i)^n+(1-i)^n=2^((n+2)/2).cos((npi)/4)`, where n is a positive integer. `(b) (1+isqrt(3))^n+(1-isqrt(3)^n=2^(n+1)cos((npi)/3)`, where n is a positive integer

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