Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 8 - Section 8.2 - Trigonometric Form for Complex Numbers - 8.2 Problem Set - Page 432: 25

Answer

$(\sqrt 3+i)$

Work Step by Step

Given complex number is 2$(\cos30^{\circ}+i\sin30^{\circ})$ ......(1) We know that $\cos30^{\circ} = \frac{\sqrt 3}{2}$ .......(2) $ \sin30^{\circ}=\frac{1}{2}$ .....(3) Substitute these (2), (3) in equation (1) we get 2$(\frac{\sqrt 3}{2}+\frac{i}{2})$ = $(\sqrt 3+i)$ Hence the standard form is $(\sqrt 3+i)$
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