SOLUTION: Find the cube roots of 1 - i. Write your answers in polar form. Make sure to show work.

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Question 1138177: Find the cube roots of 1 - i. Write your answers in polar form.
Make sure to show work.
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


1-i+=+sqrt%282%29cis%28315%29 or in polar form (sqrt(2),315)



The three cube roots are equally spaced in increments of 360/3 = 120 degrees, so the three cube roots of 1-i are

2%5E%281%2F6%29cis%28105%29 = (2^(1/6),105)
2%5E%281%2F6%29cis%28225%29 = (2^(1/6),225)
2%5E%281%2F6%29cis%28345%29 = (2^(1/6),345)