If n is a positive integer show that (1+I)^2n + ( 1-i)^2n = 2^(n+1/2) cos n pi /2

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If n is an integer then show that(1+i)^2n + (1-i)^2n=2^(n+1) cos n pi /2 If n is an integer then show that(1+i)^2n + (1-i)^2n=2^(n+1) cos n pi /2
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(1+ i)²ⁿ + (1-i)²ⁿ = 2ⁿ+¹ Cos(n pi /2) ; #de-moivre (1+ i)²ⁿ + (1-i)²ⁿ = 2ⁿ+¹ Cos(n pi /2) ; #de-moivre'stheorem@EAG
If n is a positive integer show that (1+I)^n + ( 1-i)^n = 2^(n+2)/2 cos n pi /4 If n is a positive integer show that (1+I)^n + ( 1-i)^n = 2^(n+2)/2 cos n pi /4
#08 prove that (1+i)^n +(1-i)^n=2^n/2+1 cos nπ /4 | prove that (√3+i)^n+ (√3-i)^n = 2^n+1 cos nπ/6 #08 prove that (1+i)^n +(1-i)^n=2^n/2+1 cos nπ /4 | prove that (√3+i)^n+ (√3-i)^n = 2^n+1 cos nπ/6