Complex NumbersHard

Question

If (cos θ + i sin θ) (cos 2θ + i sin 2θ) ... (cos nθ + i sin nθ) = 1, then the value of θ is

Options

A., m ∈ Z
B., m ∈ Z
C., m ∈ Z
D., m ∈ Z

Solution

eiθ . ei2θ ..... einθ = 1

θ =   m ∈ z.

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