Trigonometry 7th Edition

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

Chapter 5 - Section 5.2 - Sum and Difference Formulas - 5.2 Problem Set - Page 291: 80

Answer

$d$

Work Step by Step

$\sin{(45+x)}+ \sin{(45-x)}=$ $$\sin{(45)} \cos{x} + \cos{(45)} \sin{x} + \sin{(45)} \cos{x} - \cos{(45)} \sin{x}$$ $\sin{(45+x)}+ \sin{(45-x)}= 2 \sin{(45)} \cos{x} = \sqrt{2} \cos{x}$
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