Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 8 - Section 8.4 - Roots of a Complex Number - 8.4 Problem Set - Page 447: 2

Answer

See below.

Work Step by Step

To obtain the principle nth root of a complex number, we must find the real nth root of the modulus and divide the angle by n. To find the rest of the nth roots, add $360^\circ/n$ to the argument until we have them all.
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