Complex NumbersHard

Question

Let z = cosθ + i sin θ Then the value of Im(z2m-1) at θ = 2o is

Options

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B.
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D.

Solution

X = sinθ + sin3θ + .... + sin29θ
2(sinθ)X = 1 - cos2 θ + cos2 θ - cos4 θ + .... + cos28 θ - cos 30 θ
X =

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