Find the sum of all possible values of θ in the interval (-π/2,π) for which (3+2ι sin⁡θ)/(1-2 ι sin⁡

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A={theta belongs to (-pi/2, pi): (3+2i sin(theta))/(1-2i sin(theta)) is purely imaginary}. A={theta belongs to (-pi/2, pi): (3+2i sin(theta))/(1-2i sin(theta)) is purely imaginary}.
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