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 289: 34

Answer

$\cos{(60)}=\dfrac{1}{2} $

Work Step by Step

$\cos{(A-B)} = \cos{A} \cos{B} + \sin{A} \sin{B}$ $\cos{(15)} \cos{(75)} + \sin{(15)} \sin{(75)} \\= \cos{(15-75)} = \cos{(-60)} = \cos{(60)}=\dfrac{1}{2}$
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