SOLUTION: z = 2 ( \cos \frac { \pi } { 3 } + i \sin \frac { \pi } { 3 } ) What will Z^4 be equal to

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Question 1181459: z = 2 ( \cos \frac { \pi } { 3 } + i \sin \frac { \pi } { 3 } )
What will Z^4 be equal to
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


z+=+2%28cos%28pi%2F3%29%2Bi%2Asin%28pi%2F3%29%29+=+2%28cis%28pi%2F3%29%29%29

The modulus ("magnitude") is 2; the angle is pi/3.

DeMoivre's Theorem says to raise the complex number to the n-th power you raise the modulus to the n-th power and multiply the angle by n.

You can do the simple calculations to find the answer to your problem.

Here are a couple of similar examples: