Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 6 - Section 6.5 - Complex Numbers in Polar Form; DeMoivre's Theorem - Concept and Vocabulary Check - Page 767: 4


To convert a complex number in rectangular form, $z=a+bi$, to polar form, $z=r\left( \cos \theta +i\sin \theta \right)$, we use the relationships $r=$ $\sqrt{{{a}^{2}}+{{b}^{2}}}$ and $\tan \theta =$ $\frac{b}{a}$, noting the quadrant in which the graph of $z$ lies.

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