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Let A = ⎭ ⎬ ⎫ ⎩ ⎨ ⎧ θ θ + π ∈ θ imaginary purely is sin i – 1 sin i 2 1 : ) 3 , 0 ( . Then the sum of the elements in A is

1. 4 π
2. 3 π
3. π
4. 2 π

Correct answer: 4 π

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