## Algebra 2 (1st Edition)

Published by McDougal Littell

# Chapter 14 Trigonometric Graphs, Identities, and Equations - 14.4 Solve Trigonometric Equations - 14.4 Exercises - Skill Practice - Page 935: 15

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#### 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: $$\sin \left(x\right)=\frac{1}{2} \\ x=\frac{\pi }{6}+2\pi n,\:x=\frac{5\pi }{6}+2\pi n$$

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