The smallest positive integral value of ...

The smallest positive integral value of ' n ' such that
`[(1+sin (pi)/(8)+i cos (pi)/(8))(1+sin (pi)/(8)-i cos (pi)/(8))]^(n)` is purely imaginary is

A

8

B

4

C

3

D

2

Verified by Experts

The correct Answer is:

B

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