Trigonometry 7th Edition

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

Chapter 8 - Section 8.3 - Products and Quotients in Trigonometric Form - 8.3 Problem Set - Page 439: 2

Answer

To divide two complex numbers in trigonometric form, $divide$ their moduli and $subtract$ their arguments.

Work Step by Step

To divide two complex numbers in trigonometric form, $divide$ their moduli and $subtract$ their arguments. If $z_{1}=r_{1}cis\theta_{1}$, $z_{2}=r_{2}cis\theta_{2}$, then, $\frac{z_{1}}{z_{2}}=\frac{r_{1}}{r_{2}}cis(\theta_{1}-\theta_{2})$
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