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 - 14.4 Solve Trigonometric Equations - Guided Practice for Examples 1, 2, and 3 - Page 933: 1


$$x=\frac{5\pi }{6}+2\pi n$$

Work Step by Step

We solve the equation using the properties of trigonometric functions. Note, there is a general solution since trigonometric identities go up and down and this can pass through a given value of y many times. Solving this, we find: $$2\sin \left(x\right)=1 \\ \sin \left(x\right)=\frac{1}{2} \\ x=\frac{5\pi }{6}+2\pi n$$
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