What is a similarity and difference between verifying a trigonometric identity and solving an equation?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter7: Analytic Trigonometry
Section7.4: Basic Trigonometric Equations
Problem 1E: Because the trigonometry functions are periodic, if a basic trigonometric equation has one solution,...
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What is a similarity and difference between verifying a trigonometric identity and solving an equation?

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