The real value of α for which the expression 1-i sin α1+2i sin α is – InterviewSolution

1.	The real value of α for which the expression 1-i sin α1+2i sin α is purely real, is(a) n+1 π2(b) 2n+1 π2(c) nπ(d) none of these where n ∈ N.
Answer» The real value of α for which the expression $\frac{1 - i \sin α}{1 + 2 i \sin α}$ is purely real, is (a) $(n + 1) \frac{π}{2}$ (b) $(2 n + 1) \frac{π}{2}$ (c) nπ (d) none of these where n ∈ N.

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