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Express ( sqrt2 ( cos"" ( pi )/(12) + i...

Express `( sqrt2 ( cos"" ( pi )/(12) + i sin ""( pi)/(12)))/( 2 ( cos "" ( 5pi)/(6) + i sin "" ( 5pi)/(6)))` in a + ib form

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The correct Answer is:
`=- (1)/(2) - (i)/(2)`
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