Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 5 - Section 5.2 - Sum and Difference Formulas - Concept and Vocabulary Check - Page 668: 5


Identity for $\tan \left( \theta +\phi \right)$ is expressed as $\frac{\tan \theta +\tan \phi }{1-\tan \theta \tan \phi }$.

Work Step by Step

From the sum formula of tangents, the tangent of the sum of two angles, say A and B, is expressed as, $\tan \left( A+B \right)=\frac{\tan A+\tan B}{1-\tan A\tan B}$ Thus, for angles $\theta $ and $\phi $ , $\tan \left( \theta +\phi \right)=\frac{\tan \theta +\tan \phi }{1-\tan \theta \tan \phi }$
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