SOLUTION: Find (sqrt3 + i) using DeMoivre's Theorem? Leave answer in a polar form. Show work!

Algebra.Com
Question 280701: Find (sqrt3 + i) using DeMoivre's Theorem?
Leave answer in a polar form. Show work!

Answer by jsmallt9(3758)   (Show Source): You can put this solution on YOUR website!
DeMoivre's Theorem is usually used to raise complex numbers to a power. So I suspect that you left out an exponent. If so and if you are still not able to figure out the problem after reading what follows, please repost your question.

(Note: For unknown reasons Algebra.com's formula software does not handle notation for inverse functions well. So I will use "acos" in place of cos^-1 and asin for sin^-1 in the expressions below.)
If all you have to do is rewrite the complex number in polar form then the formula is:

Using this on your complex number we get:

Simplifying:



Using degrees, . (Use for radians.) We now have:

With polar form and DeMoivre's Theorem, it is very easy to raise complex numbers to powers.

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