Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 7 - Applications of Trigonometric Functions - Section 7.3 The Law of Cosines - 7.3 Assess Your Understanding - Page 559: 13

Answer

$C \approx92.9^\circ$ $A \approx48.5^\circ$ $B\approx 38.6^\circ$

Work Step by Step

1. Use the Law of Cosines, we have $C=cos^{-1}(\frac{(5)^2+(6)^2-(8)^2}{2(5)(6)})\approx92.9^\circ$ 2. Use the Law of Sines, we have $\frac{sinA}{6}=\frac{sin92.9^\circ}{8}$ 3. We have $A=sin^{-1}(\frac{6sin92.9^\circ}{8})\approx48.5^\circ$ 4. We have $B\approx180-92.9-48.5=38.6^\circ$
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