MathematicsHard53×since 2002Q3241The value of (1+sin2π9+icos2π91+sin2π9−icos2π9)3{\left( {{{1 + \sin {{2\pi } \over 9} + i\cos {{2\pi } \over 9}} \over {1 + \sin {{2\pi } \over 9} - i\cos {{2\pi } \over 9}}}} \right)^3}(1+sin92π−icos92π1+sin92π+icos92π)3 is :A12(3−i){1 \over 2}\left( {\sqrt 3 - i} \right)21(3−i)B-12(3−i){1 \over 2}\left( {\sqrt 3 - i} \right)21(3−i)C−12(1−i3)- {1 \over 2}\left( {1 - i\sqrt 3 } \right)−21(1−i3)D12(1−i3){1 \over 2}\left( {1 - i\sqrt 3 } \right)21(1−i3)Check answerSkip