Answered: Find two square roots for the following…

Find two square roots for the following complex number. Leave your answers in trigonometric form. 9(cos 240° + i sin 240°) w0= w1=

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter8: Complex Numbers And Polarcoordinates

Section8.4: Roots Of A Complex Number

Problem 6PS

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Concept explainers

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.

Question

Find two square roots for the following complex number. Leave your answers in trigonometric form.

9(cos 240° + i sin 240°)

w0=

w1=

Combination of a real number and an imaginary number. They are numbers of the form a + b , where a and b are real numbers and i is an imaginary unit. Complex numbers are an extended idea of one-dimensional number line to two-dimensional complex plane.

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