Find real θ such that (1 - 2i sinθ)/(3 + 2i sinθ)​ is purely real

(1 - 2isinθ)/(3 + 2isinθ)​ is purely real
Find real θ such that 1−2isinθ3+2isinθ​ is purely real
Find real θ such that (3 + 2i sin⁡θ)/(1 − 2isin θ) is purely real
Find real value of theta for which (3+2i sin theta)/(1-2i sin theta) is purely real.
Find real θ such that (3 + 2isinθ)/(1 - 2isinθ) is purely real.
find real theta such that 3+2 sin theta/1-2 sin theta is purely real.
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