The set of all values of \theta such that \frac{1-i \cos \theta}{1+2 i \sin \theta} is purely imaginary is

Correct Answer is : {nπ2+(−1)nπ4,n∈z}

\{n \pi+(-1)^n \frac{\pi}{4}, n \in z\}

\{\frac{n \pi}{2}+(-1)^n \frac{\pi}{4}, n \in z\}

\{n \pi+(-1)^n \frac{\pi}{2}, n \in z\}

\{2 n \pi \pm \frac{\pi}{4}, n \in z\}

TG EAMCET 3 May 2025 Shift 1 Paper

Question : 9 of 160

Marks: +1, -0

The set of all values of θ such that ‌

1−i‌cos‌θ

1+2isin‌θ

is purely imaginary is

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