Algebra and Trigonometry 10th Edition

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

Chapter 7 - 7.4 - Sum and Difference Formulas - 7.4 Exercises - Page 540: 91

Answer

a) $\sqrt {2} \sin \theta+\dfrac{\pi}{4}$ b) $\sqrt {2} \cos \theta -\dfrac{\pi}{4}$

Work Step by Step

a) We need to plug data into the given equation. $y=\sqrt {(1)^2+(1)^2} \sin \theta+\arctan (1)$ This implies that $y=\sqrt {2} \sin \theta+\dfrac{\pi}{4}$ b) We need to plug data into the given equation. $y=\sqrt {(1)^2+(1)^2} \cos \theta -\arctan (1)$ This implies that $y=\sqrt {2} \cos \theta -\dfrac{\pi}{4}$
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