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NDA Math Complex Numbers

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

1+i‌sin‌θ

1−i‌sin‌θ

where i=√−1

[NDA II 2022]

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Question : 3

Total: 66

What is angle θ such that z is purely imaginary?

‌
nπ
2
‌
(2n+1)π
2
nπ
2nπ
where n is an integer

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