If ${\rm{z}} = {\left( {\frac{{\sqrt 3 }}{2} + \frac{{\rm{i}}}{2}} \right)^{107}} + {\left( {\frac{{\sqrt 3 }}{2} - \frac{{\rm{i}}}{2}} \right)^{107}}$, then what is the imaginary part of z equal to?

Question

TuteeHUB · Accepted Answer

$\frac{1}{2}$

TuteeHUB · Answer

$\frac{{\sqrt 3 {\rm{\;\;}}}}{2}$

TuteeHUB · Answer

-1

1.	If \({\rm{z}} = {\left( {\frac{{\sqrt 3 }}{2} + \frac{{\rm{i}}}{2}} \right)^{107}} + {\left( {\frac{{\sqrt 3 }}{2} - \frac{{\rm{i}}}{2}} \right)^{107}}\), then what is the imaginary part of z equal to?
A.	0
B.	\(\frac{1}{2}\)
C.	\(\frac{{\sqrt 3 {\rm{\;\;}}}}{2}\)
D.	-1
Answer» B. \(\frac{1}{2}\)

If \({\rm{z}} = {\left( {\frac{{\sqrt 3 }}{2} + \frac{{\rm{i}}}{2}} \right)^{107}} + {\left( {\frac{{\sqrt 3 }}{2} - \frac{{\rm{i}}}{2}} \right)^{107}}\), then what is the imaginary part of z equal to?

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