Refer to Problem 68. Show that the complex nth roots of a nonzero complex number w are
Question:
Refer to Problem 68. Show that the complex nth roots of a nonzero complex number w are equally spaced on the circle.
Data from problem 68
Use the result of Problem 67 to draw the conclusion that each complex nth root lies on a circle with center at the origin. What is the radius of this circle?
Data from problem 67
Show that each complex nth root of a nonzero complex number w has the same magnitude.
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Related Book For
Precalculus Concepts Through Functions A Unit Circle Approach To Trigonometry
ISBN: 9780137945139
5th Edition
Authors: Michael Sullivan
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