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  4. If n ∈ N - 1 ., then the value of ( 1 + cos (π/n) + i sin (π/n))n ( 1 + cos (π/n) - i sin (π/n))n is :

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Q. If $n \in N - \{1\}$., then the value of $( 1 + \cos \frac{\pi}{n} + i \, \sin \frac{\pi}{n})^n$
$( 1 + \cos \frac{\pi}{n} - i \, \sin \frac{\pi}{n})^n$ is :

UPSEEUPSEE 2018

Solution:

Correct answer is (b) -1