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The real value of θ for which the expression

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The real value of θ for which the expression (1 + icosθ)/(1 - 2icosθ) is a real number is:

(A) nπ + π/4

(B)  nπ + (-1)nπ/4

(C) 2nπ ± π/2

(D) none of these.

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Answer is (C) 2nπ ± π/2

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