Trigonometry (11th Edition) Clone

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

Chapter 8 - Test - Page 412: 7a


16$(cos50^\circ + i sin50^\circ)$

Work Step by Step

$w = 8(cos40^\circ + i sin40^\circ)$ = $8cis40^\circ$ and $z = 2(cos10^\circ + i sin10^\circ)$ = $2cis10^\circ$ wz = ($8cis40^\circ$)($2cis10^\circ$) = 16$cis(40^\circ + 10^\circ)$ Product Theorem = 16$(cos50^\circ + i sin50^\circ)$
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