Trigonometry 7th Edition

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

Chapter 3 - Section 3.1 - Reference Angle - 3.1 Problem Set - Page 123: 93

Answer

$1$

Work Step by Step

Given expression is- $\sin^{2} 45^{\circ} + \cos^{2} 45^{\circ}$ = $(\sin 45^{\circ})^{2} + (\cos 45^{\circ})^{2}$ = $(\frac{1}{\sqrt 2})^{2} + (\frac{1}{\sqrt 2})^{2} $ (Substituting exact values) = = $(\frac{1}{2}) + (\frac{1}{2}) $ = $1$
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