The real value of θ for which the expression 1+i cosθ1-2i cosθ is a – InterviewSolution

1.	The real value of θ for which the expression 1+i cosθ1-2i cosθ is a real number, is(a) nπ+π4(b) nπ+-1nπ4(c) 2nπ±π2(d) none of theses
Answer» The real value of θ for which the expression $\frac{1 + i \cos θ}{1 - 2 i \cos θ}$ is a real number, is (a) $n π + \frac{π}{4}$ (b) $n π + {(- 1)}^{n} \frac{π}{4}$ (c) $2 n π \pm \frac{π}{2}$ (d) none of theses

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