SOLUTION: Find two square roots for the following complex number. Leave your answers in trigonometric form. (Enter your angles in radians. Do not use cis form.) 81 cis π

Algebra ->  Vectors -> SOLUTION: Find two square roots for the following complex number. Leave your answers in trigonometric form. (Enter your angles in radians. Do not use cis form.) 81 cis π      Log On


   

Question 1080021: Find two square roots for the following complex number. Leave your answers in trigonometric form. (Enter your angles in radians. Do not use cis form.)
81 cis π
Found 2 solutions by ikleyn, Alan3354:
Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.
81%2Acis%28pi%29 = -81.


Therefore, square root of this number has two complex values:


1)  9i = 9%2Acos%28pi%2F2%29+%2B+i%2Asin%28pi%2F2%29,     and


2)  -9i = 9%2Acos%283pi%2F2%29+%2B+i%2Asin%283pi%2F2%29.


Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find two square roots for the following complex number. Leave your answers in trigonometric form.
81cis(pi)
---------
--> 9cis(pi/2)
and 9cis(3pi/2)