Question

復(fù)數(shù)z=

1

cos π 6 -isin π 6

的共軛復(fù)數(shù)

z

是（　�。�

A． 1 2 + 3 2 i

B． 1 2 - 3 2 i

C． 3 2 + 1 2 i

D． 3 2 - 1 2 i

Answer 1

z=

1

cos π 6 -isin π 6

=

1

3 2 - 1 2 i

=

3 2 + 1 2 i

( 3 2 - 1 2 i)( 3 2 + 1 2 i)

=

3

2

+

1

2

i
共軛復(fù)數(shù)

z

=

3

2

-

1

2

i
故選D．