When solving linear trig equations in terms of only sine or cosine, how do we know whether there will be solutions?

Chapter 7, 7.5 Exercises #3

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When solving linear trig equations in terms of only sine or cosine, how do we know whether there will be solutions?

Related Book For answer-question

Precalculus

1st Edition

Authors: Jay Abramson

ISBN: 9781938168345