Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 14 Trigonometric Graphs, Identities, and Equations - 14.7 Apply Double-Angle and Half-Angle Formulas - 14.7 Exercises - Mixed Review - Page 962: 68

Answer

$$x=\frac{\pi }{3}+2\pi n,\:x=\frac{2\pi }{3}+2\pi n$$

Work Step by Step

Solving for a general solution to the equation, we find: $$\sin \left(x\right)=\frac{\sqrt{3}}{2} \\ x=\frac{\pi }{3}+2\pi n,\:x=\frac{2\pi }{3}+2\pi n$$
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