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Calculus and Beyond Homework Help
Find the roots of the complex number ##(-1+i)^\frac {1}{3}##
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[QUOTE="chwala, post: 6857106, member: 287397"] [B]Homework Statement:[/B] Kindly see attached...I just want to understand why for the case; ##(-1+i)^\frac {1}{3}## they divided by ##3## and not multiply ? [B]Relevant Equations:[/B] Complex numbers Kindly see attached...I just want to understand why for the case; ##(-1+i)^\frac {1}{3}## they divided by ##3## when working out the angles... Am assuming they used; ##(\cos x + i \sin x)^n = \cos nx + i \sin nx## and here, we require ##n## to be positive integers...unless I am not getting it...sorry using phone to type ...I will put this into context later... For ##z^5 = -32## No issue here...the steps ,that is division by ##5## is clear. [/QUOTE]
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Calculus and Beyond Homework Help
Find the roots of the complex number ##(-1+i)^\frac {1}{3}##
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