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: 16

Answer

$A \approx68.0^\circ$ $B\approx 44.0^\circ$ $C \approx68.0^\circ$

Work Step by Step

1. Use the Law of Cosines, we have $A=cos^{-1}(\frac{(3)^2+(4)^2-(4)^2}{2(3)(4)})\approx68.0^\circ$ 2. It is an equilateral triangle, $B\approx(180-2(68.0))=44.0^\circ$ 3. We have $C=A\approx68.0^\circ$
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