If n is an integer then show that (1 + i)²ⁿ + (1 - i)²ⁿ =2ⁿ⁺¹cosnπ/2 . | De moivre's theorem | inter

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If n is any integer then show that (1 + i)²ⁿ + (1 – i)²ⁿ 2ⁿ+¹ Cos(n pi / 2) @EAG If n is any integer then show that (1 + i)²ⁿ + (1 – i)²ⁿ 2ⁿ+¹ Cos(n pi / 2) @EAG
(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
28) Show that (1+i)^2n +(1-i)^2n = 2^n+1 Cos nπ/2 || Demoivre 28) Show that (1+i)^2n +(1-i)^2n = 2^n+1 Cos nπ/2 || Demoivre's Theorem || 7 Marks Problem
1#DeMoivresTheorem7Marks #Showthat (1 + i)^2n + (1 - i)^2n = 2^(n + 1)Cos (nπ/2) 1#DeMoivresTheorem7Marks #Showthat (1 + i)^2n + (1 - i)^2n = 2^(n + 1)Cos (nπ/2)
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