SOLUTION: How would I use DeMoiver's Theorem to find 2 square roots of 16(cos330 + j sin330)in polar form?
Algebra.Com
Question 986069: How would I use DeMoiver's Theorem to find 2 square roots of 16(cos330 + j sin330)in polar form?
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.
See the lesson How to take a root of a complex number in this site.
Answer. One root is = 4*(cos(115°) + i*sin(115°)) (notice that 115° = .330°).
The other root is = 4*(cos(115°+180°) + i*sin(115°+180°)) = 4*(cos(295°) + i*sin(295°)). (Notice that 180° = .360°).
Also notice that = .
RELATED QUESTIONS
Use DeMoivres's Theorem to find the three cube roots of -64i. Write your answers in both... (answered by ikleyn)
Use De Moivre’s Theorem to solve for z and leave answer in polar form with the angle in (answered by greenestamps)
Hi, I am stuggling very much on these two questions on complex numbers. If you can help,... (answered by josmiceli)
Use demoivre's theorem to find the three cube roots of -64i. Write your answers in both... (answered by ikleyn)
Hello, I am struggling with this complex numbers problem:
If... (answered by ewatrrr)
Find the 3 cube roots of -i in polar... (answered by robertb)
Find the 3 cube roots of i in polar... (answered by ikleyn,Edwin McCravy)
Find the cube roots of 1 - i. Write your answers in polar form.
Make sure to show... (answered by greenestamps)
Find {{{(-(sqrt(3)/2)+(i/2))^91}}} by changing it to polar form and then applying De... (answered by Alan3354,solver91311)