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: 28

Answer

$A \approx70.5^\circ$ $B \approx70.5^\circ$ $C\approx 39.0^\circ$

Work Step by Step

1. Use the Law of Cosines, we have $A=cos^{-1}(\frac{(3)^2+(2)^2-(3)^2}{2(3)(2)})\approx70.5^\circ$ 2. This is an isosceles triangle, we have $B=A\approx70.5^\circ$ 3. We have $C\approx(180-70.5-70.5)=39.0^\circ$
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