Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 8 - Polar Coordinates; Vectors - Chapter Review - Review Exercises - Page 655: 19

Answer

$cos130^\circ+i\ sin130^\circ$, $cos30^\circ+i\ sin30^\circ$

Work Step by Step

1. Use the given numbers, we have $z\cdot w=cos(80+50)^\circ+i\ sin(80+50)^\circ=cos130^\circ+i\ sin130^\circ$ 2. we have $\frac{z}{w}=cos(80-50)^\circ+i\ sin(80-50)^\circ=cos30^\circ+i\ sin30^\circ$
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