Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 5 - Section 5.4 - Half-Angle Formulas - 5.4 Problem Set - Page 305: 55

Answer

See the steps.

Work Step by Step

$RHS =\dfrac{1}{4}+ \dfrac{\cos{2\theta}}{2}+ \dfrac{\cos^2{2\theta}}{4} = (\dfrac{\cos{2\theta}}{2}+ \dfrac{1}{2})^2$ $RHS = (\dfrac{\cos{2\theta}+1}{2})^2 = (\cos^2{\theta})^2 = \cos^4{\theta} = LHS$
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