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Evaluate (1+i)^6+(1-i)^6 evaluate this nd ans fast solve fast

Evaluate (1+i)^6+(1-i)^6 evaluate this nd ans fast solve fast

Grade:11

1 Answers

Sakshi Agarwal
37 Points
6 years ago
(1+i)^6+(1+i)^6Here we have to apply De Moivre theorem,First, Multiply and divide by √22³[{(1/√2)+(i/√2)}^6 + {(1/√2)+(i/√2}^6]2³[{cos(π/4) + i sin(π/4)}^6 + {cos(π/4) - i sin(π/4)}^6]Applying de moivre theorem,2³[cos(6π/4)+i sin(6π/4)+cos(6π/4)-isin(6π/4)]2³ .2 cos (3π/2)16 *00 (Ans)

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