SOLUTION: How would I use DeMoiver's Theorem to find 2 square roots of 16(cos330 + j sin330)in polar form?

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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) About Me  (Show Source):
You can put this solution on YOUR website!
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See the lesson  How to take a root of a complex number  in this site.

Answer.  One root is   z%5B1%5D = 4*(cos(115°) + i*sin(115°))     (notice that  115° = 1%2F2.330°).

              The other root is   z%5B2%5D = 4*(cos(115°+180°) + i*sin(115°+180°)) = 4*(cos(295°) + i*sin(295°)).     (Notice that  180° = 1%2F2.360°).

              Also notice that z%5B2%5D = -z%5B1%5D.