Trigonometry 7th Edition

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

Chapter 1 - Section 1.4 - Introduction to Identities - 1.4 Problem Set - Page 40: 23


$\sin^{2}\theta$ = $\frac{1}{2}$

Work Step by Step

We know that- $\sin^{2}\theta$ = $(\sin\theta)^{2}$ Substituting the value of $\sin\theta$ $\sin^{2}\theta$ = $(\frac{\sqrt 2}{2})^{2}$ =$\frac{2}{4}$ = $\frac{1}{2}$
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