SOLUTION: Find the complex cube roots of 343(cos 291° + i sin 291°)
A.
-7(cos 97° + i sin 97°), 7(cos 137° + i sin 137°), -7(cos 177° + i sin 177°)
B.
7(cos 97° - i sin 97°), 7(cos21
Algebra.Com
Question 978131: Find the complex cube roots of 343(cos 291° + i sin 291°)
A.
-7(cos 97° + i sin 97°), 7(cos 137° + i sin 137°), -7(cos 177° + i sin 177°)
B.
7(cos 97° - i sin 97°), 7(cos217° - i sin 217°), 7(cos 337° - i sin 337°)
C.
7(cos 97° + i sin 97°), 7(cos 137° + i sin 137°), 7(cos 177° + i sin 177°)
D.
7(cos 97° + i sin 97°), 7(cos217° + i sin 217°), 7(cos 337° + i sin 337°)
E.
-7(cos 97° + i sin 97°), 7(cos 217° + i sin 217°), -7(cos 337° + i sin 337°)
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
If the complex number ,
with and ,
is the complex cube root of , then
for .
For that it must be
---> and
for
Dividing both sides of the equation by we get
--->
RELATED QUESTIONS
Find the cube roots of 125(cos 288° + i sin 288°).
My work so far:
5(cos 96° + i... (answered by ikleyn)
Find the cube roots of 27(cos 279° + i sin 279°).
My Work so far:
(27*(cos 279 +... (answered by Alan3354,Edwin McCravy)
Find the cube roots of 27(cos 279° + i sin... (answered by Alan3354)
Find the cube roots of 125(cos 288° + i sin... (answered by Alan3354)
how do i evaluate sin[cos^-1(6/7)]... (answered by Apathious)
Hi,
I have the following answer;... (answered by ewatrrr)
Find all the complex complex roots of 144(cos 210 degrees + i sin 210 degrees) in polar... (answered by greenestamps)
Determine the rectangular form of the following complex number:
z=7(cos 3pi/2 + i sin... (answered by Edwin McCravy)
Verify the expression: cos^3 + sin^2 cos = cos
Cos^3 + sin^2 cos = cos
Cos x cos^2 + (answered by Alan3354)