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The value of ((1+sin((2 pi)/(9))+i cos((...

The value of `((1+sin((2 pi)/(9))+i cos((2 pi)/(9))))/(1+sin((2 pi)/(9))-i cos((2 pi)/(9)))` is

A

`-(1)/(2)(sqrt(3)-i)`

B

`-(1)/(2)(1-i sqrt(3))`

C

`(1)/(2)(sqrt(3)+i)`

D

`(1)/(2)(1-i sqrt(3))`

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