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: 6a


$2+2i\sqrt 3$

Work Step by Step

We know that $\cos60^{\circ}=\frac{1}{2}$ and $\sin60^{\circ}=\frac{\sqrt 3}{2}$ Substituting these values in the expression and solving: $4(\cos60^{\circ}+i\sin60^{\circ})=4(\frac{1}{2}+\frac{\sqrt 3}{2}i)=2+2i\sqrt 3$
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