Question

what is the answer (by de moivre theorm

Answer 1

Answer:

de Moivre's Theorem

de Moivre’s Theorem

Given any complex number cosθ + i sinθ and any integer n,

(cosθ + i sinθ )n = cos nθ + i sin nθ .

Corollary

(1) (cosθ - i sinθ )n = cos nθ - i sin nθ

(2) (cosθ + i sinθ )-n = cos nθ - i sin nθ

(3) (cosθ - i sinθ )-n = cos nθ + i sin nθ

(4) sinθ + i cosθ = i (cosθ - i sinθ ) .

Now let us apply de Moivre’s theorem to simplify complex numbers and to find solution of equations.

Step-by-step explanation:

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