Question

if Z= √3/2+i/2, Z³ then equals
a. i
b. -i
c. -1
d. 1​

Answer 1

Answer Correct option is

A

−1

z=23+2i=cos6π+isin6π

⇒z5=cos65π+isin65π=2−3+i

and z8=cos34π+isin34π=−(21+i3)

⇒(1+iz+z5+iz8)9=(1+2i3−21−23

Step-by-step explanation:

Correct option is

A

−1

z=23+2i=cos6π+isin6π

⇒z5=cos65π+isin65π=2−3+i

and z8=cos34π+isin34π=−(21+i3)

⇒(1+iz+z5+iz8)9=(1+2i3−21−23