If omega is a complex cube root of unity...

If `omega` is a complex cube root of unity, then the value of `sin{(omega^(10)+omega^(23))pi- (pi)/(6)}` is

A

`(1)/(sqrt(2))`

B

`(sqrt(3))/(2)`

C

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

D

`(1)/(2)`

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The correct Answer is:

D

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