If n is any integer then show that (1 + i)²ⁿ + (1 – i)²ⁿ 2ⁿ+¹ Cos(n pi / 2) @EAG

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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 belongs to Z then show that (1 + i)ⁿ + (1 – i)ⁿ = 2ⁿ/² +¹ Cos(n pi / 4) @EAG If n belongs to Z then show that (1 + i)ⁿ + (1 – i)ⁿ = 2ⁿ/² +¹ Cos(n pi / 4) @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 + Cos + i Sin )ⁿ + (1 + Cos – i Sin)ⁿ = 2ⁿ+¹ Cosⁿ(theta / 2) Cos(n theta / 2) @EAG (1 + Cos + i Sin )ⁿ + (1 + Cos – i Sin)ⁿ = 2ⁿ+¹ Cosⁿ(theta / 2) Cos(n theta / 2) @EAG
If n is an integer then show that (1 + i)²ⁿ + (1 - i)²ⁿ =2ⁿ⁺¹cosnπ/2 . | De moivre If n is an integer then show that (1 + i)²ⁿ + (1 - i)²ⁿ =2ⁿ⁺¹cosnπ/2 . | De moivre's theorem | inter
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
If n is integer then show that `(1 + i)^(2n) + (1 - i)^(2n) = 2 ^(n+1) | Class 12 Maths | Doubtnut If n is integer then show that `(1 + i)^(2n) + (1 - i)^(2n) = 2 ^(n+1) | Class 12 Maths | Doubtnut
Show that if n is a positive integer then 1+2+......….+n=n(n+1)/2 Show that if n is a positive integer then 1+2+......….+n=n(n+1)/2