SOLUTION: Find the 3 cube roots of -i in POLAR FORM: rcis(theta)
Algebra
->
Trigonometry-basics
-> SOLUTION: Find the 3 cube roots of -i in POLAR FORM: rcis(theta)
Log On
Algebra: Trigonometry
Section
Solvers
Solvers
Lessons
Lessons
Answers archive
Answers
Click here to see ALL problems on Trigonometry-basics
Question 1117278
:
Find the 3 cube roots of -i in POLAR FORM: rcis(theta)
Answer by
math_helper(2461)
(
Show Source
):
You can
put this solution on YOUR website!
First find r and
. The value of r is 1 by inspection,
also by inspection.
and the cube root of this is :
; k=0, 1, 2
So the 3 cube roots of -i are (in polar form):
for k=0, 1, 2