Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 7 - Section 7.3 - Double-Angle, Half-Angle, and Product-Sum Formulas - 7.3 Exercises: 31

Answer

a. $\cos 68^\circ$ b. $\cos 10\theta$

Work Step by Step

a. Use the formula $\cos 2x=\cos^2 x-\sin^2 x$ with $x=34^\circ$. Then $\cos^2 34^\circ-\sin^2 34^\circ=\cos(2*34^\circ)=\cos 68^\circ$. a. Use the formula $\cos 2x=\cos^2 x-\sin^2 x$ with $x=5\theta$. Then $\cos^2 5\theta-\sin^2 5\theta=\cos(2*5\theta)=\cos 10\theta$.
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