Algebra and Trigonometry 10th Edition

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

Chapter 6 - 6.2 - Right Triangle Trigonometry - 6.2 Exercises - Page 441: 25


Angle in Degrees: $45^{o}$ Value: $\frac{\sqrt 2}{2}$

Work Step by Step

Note: To convert between degrees and radians use the following formula: $\frac{1 rad}{}$$\frac{180}{\pi}$=$\frac{degrees}{}$ We are given that there is $\frac{\pi}{4}$. Using the above formula, the equivalence in degrees is : $\frac{\pi}{4}$$\frac{180}{\pi}$=$\frac{45^{o}}{}$ Using the unit circle, we know that sin($\frac{\pi}{4}$) = $\frac{\sqrt 2}{2}$
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