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: 26

Answer

($2\sqrt 3+2i$)

Work Step by Step

Given complex number is 4$(\cos30^{\circ}+i\sin30^{\circ})$......(1) We know that $cos30^{\circ} = \frac{\sqrt 3}{2}$ $\sin30^{\circ}=\frac{1}{2}$ Plugin these values in equation (1) we get 4($\frac{\sqrt 3}{2}+\frac{i}{2}$) = 2($\sqrt 3+i$) so the standard form is (2$\sqrt 3+2i$)
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