What is angle θ such that z is purely imaginary? [NDA II 2022]

Correct Answer is : (2n+1)π2\; (2 n+1) π/22(2n+1)π

Correct Answer is : (2n+1)π2\; (2 n+1) π/22(2n+1)π

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NDA Math Complex Numbers

Consider the following for the next three (03) items that follow:

Let

z=\frac{1+i \sin \theta}{1-i \sin \theta}

where

i=\sqrt{-1}

[NDA II 2022]

Question : 3 of 66

Marks: +1, -0

What is angle

\theta

z

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