Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 5 - Section 5.1 - Proving Identities - 5.1 Problem Set - Page 278: 9

Answer

9 (a). $ (x - y) (x + y)$ 9 (b). $ (\cos\theta - \sin\theta) (\cos\theta + \sin\theta)$

Work Step by Step

9 (a). Given expression is- $ x^{2} - y^{2}$ = $ (x - y) (x + y)$ {Recall $a^{2} - b^{2}$ = (a-b)(a+b)} 9 (b). Given expression is- $ \cos^{2}\theta - \sin^{2}\theta$ = $ (\cos\theta - \sin\theta) (\cos\theta + \sin\theta)$ {Recall $a^{2} - b^{2}$ = (a-b)(a+b)}
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