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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 if

A

2

B

3

C

4

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
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ML KHANNA-COMPLEX NUMBERS -Self Assessment Test
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  8. If omega (!= 1) is a cube root of unity, then the sum of the series S ...

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  9. The smallest positive integral value of 'n' such that [(1+sin\ pi/8 + ...

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  17. Let z(1) and z(2) be two distinct complex numbers and z=(1-t)z(1)+iz(2...

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