Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 7 - 7.5 - Multiple-Angle and Product-to-Sum Formulas - 7.5 Exercises - Page 549: 57


$sin~75°+sin~15°=\frac{\sqrt 6}{2}$

Work Step by Step

$sin~75°+sin~15°=2~sin(\frac{75°+15°}{2})~cos(\frac{75°-15°}{2})=2~sin~45°~cos~30°=2(\frac{\sqrt 2}{2})(\frac{\sqrt 3}{2})=\frac{\sqrt 6}{2}$
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