Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 7 - Chapter Test - Page 554: 15


x = $\frac{\pi}{6}$, $\frac{11\pi}{6}$, $\frac{5\pi}{6}$, $\frac{7\pi}{6}$

Work Step by Step

$4cos^{2}(x) - 3 = 0$ We can manipulate the equation as follows: $4cos^{2}(x) = 3$ $cos^{2}(x) = \frac{3}{4}$ $cos(x) = \sqrt \frac{3}{4}$ = $\frac{\sqrt 3}{2}$ This gives 4 possible solutions: x = $\frac{\pi}{6}$, $\frac{11\pi}{6}$, $\frac{5\pi}{6}$, $\frac{7\pi}{6}$
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