# Let A={θϵ(-π/2π):3+2isinθ/1-2isinθ is purely imaginary} then the sum of elements in A is

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$$A={θϵ}({-π\over2},π):{{3+2i\sin\theta}\over 1-2i\sin\theta}$$

A)$$3π\over4$$

B)$$5π\over6$$

C)$$π$$

D)$$2π\over3$$

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