engineering recuitment AAI ATC Junior Executive 2025 Mock Test Series Mathematics Complex Numbers De Moivre's Theorem
What is \({\left[ {\frac{{\sin \frac{{\rm{\pi }}}{6} + {\rm{i}}\left( {1 - \cos \frac{{\rm{\pi }}}{6}} \right)}}{{\sin \frac{{\rm{\pi }}}{6} - {\rm{i}}\left( {1 - \cos \frac{{\rm{\pi }}}{6}} \right)}}} \right]^3}\) where \({\rm{i}} = \sqrt { - 1} ,\) equal to?
1
1
2
i
3
-1
4
-i