Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 8 - Application of Trigonometry - Chapter 8 Test Prep - Review Exercises - Page 841: 53

Answer

$$ - 30i$$

Work Step by Step

$$\eqalign{ & \left[ {5\left( {\cos {{90}^ \circ } + i\sin {{90}^ \circ }} \right)} \right]\left[ {6\left( {\cos {{180}^ \circ } + i\sin {{180}^ \circ }} \right)} \right] \cr & {\text{Write in the rectangular form}} \cr & {\text{ = }}\left[ {5\left( {0 + i\left( 1 \right)} \right)} \right]\left[ {6\left( { - 1 + i\left( 0 \right)} \right)} \right] \cr & {\text{Multiply}} \cr & {\text{ = }}\left[ {5\left( i \right)} \right]\left[ {6\left( { - 1} \right)} \right] \cr & {\text{ = }} - 30i \cr} $$
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