Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 8 - Quiz (Sections 8.1-8.4) - Page 385: 7a

Answer

$w\cdot z$ = $36(cos130^\circ + isin130^\circ)$

Work Step by Step

$w = 12(cos80^\circ + isin80^\circ) = 12cis80^\circ$ $z = 3(cos50^\circ + isin50^\circ) = 3cis50^\circ$ Now, $w\cdot z$ = $12cis80^\circ \cdot 3cis50^\circ$ = $12 \cdot 3 \cdot cis(80^\circ+ 50^\circ)$ (Product Theorem) = $36cis130^\circ$ = $36(cos130^\circ + isin130^\circ)$
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