Trigonometry 7th Edition

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

Chapter 5 - Section 5.5 - Additional Identities - 5.5 Problem Set - Page 312: 40

Answer

$\dfrac{\sqrt{2}}{2}$

Work Step by Step

$\sin{\alpha} - \sin{\beta} = 2 \cos{(\dfrac{\alpha+\beta}{2})} \sin{\dfrac{\alpha-\beta}{2})} $ $\sin{75} - \sin{15} = 2 \cos{45} \sin{30} = \dfrac{\sqrt{2}}{2}$
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