Algebra and Trigonometry 10th Edition

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

Chapter 8 - 8.1 - Law of Sines - 8.1 Exercise - Page 566: 25


No Triangle.

Work Step by Step

Note: The Law of Sines is: $\frac{a}{sin(A)}$ = $\frac{b}{sin(B)}$ = $\frac{c}{sin(C)}$ Note: The domain of sine is -1 $\leq$ sin(x) $\leq$ 1. To solve the triangle, we need to find B, C, and c. Finding B: We can use the Law of Sines. $\frac{18}{sin(76^{o})} = \frac{20}{sin(B)}$ Therefore, sin(B) = 1.078 Since 1.078 is not in the domain of sine, there is no triangle.
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