SOLUTION: Complete the following equations: 1. (−[1/2] + [(√3)/2]i)3=_____+_____i 2. (−[1/2] − [(√3)/2]i)3=_____+_______i 3. (−[1/2] + [(√3)/2]i)

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Complete the following equations: 1. (−[1/2] + [(√3)/2]i)3=_____+_____i 2. (−[1/2] − [(√3)/2]i)3=_____+_______i 3. (−[1/2] + [(√3)/2]i)      Log On


   

Question 376282: Complete the following equations:
1. (−[1/2] + [(√3)/2]i)3=_____+_____i
2. (−[1/2] − [(√3)/2]i)3=_____+_______i
3. (−[1/2] + [(√3)/2]i)3000=_____ +_____ i
(−[1/2] − [(√3)/2]i)3000=_____+_____i
I dont understand how to do these...
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the following equations:
1. (−[1/2] + [(√3)/2]i)3=_____+_____i
Is the 3 the exponent?
%28-1%2F2+%2B+i%2Asqrt%283%29%2F2%29%5E3 like that?
= (1*cis(300))^3
= 1cis(900)
= -1
-----------------
2. (−[1/2] − [(√3)/2]i)3=_____+_______i
3. (−[1/2] + [(√3)/2]i)3000=_____ +_____ i
(−[1/2] − [(√3)/2]i)3000=_____+_____i
I dont understand how to do these...