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: 32

Answer

$A \approx60.9^\circ$ $B \approx42.8^\circ$ $C\approx 76.3^\circ$

Work Step by Step

1. Use the Law of Cosines, we have $A=cos^{-1}(\frac{(7)^2+(10)^2-(9)^2}{2(7)(10)})\approx60.9^\circ$ 2. Use the Law of Cosines, we have $B=cos^{-1}(\frac{(9)^2+(10)^2-(7)^2}{2(9)(10)})\approx42.8^\circ$ 3. We have $C\approx(180-60.9-42.8)=76.3^\circ$
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