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 4, 5, and 6 - Page 934: 6

Answer

.785

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: $$-\frac{1}{\sin \left(x\right)}+2\sin \left(x\right)=0 \\ -1+2\sin ^2\left(x\right)=0 \\ x=.785$$
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