Answer
$\sin^{2}\theta$ = $\frac{1}{2}$
Work Step by Step
We know that-
$\sin^{2}\theta$ = $(\sin\theta)^{2}$
Substituting the value of $\sin\theta$
$\sin^{2}\theta$ = $(\frac{\sqrt 2}{2})^{2}$ =$\frac{2}{4}$ = $\frac{1}{2}$
Trigonometry 7th Edition
by McKeague, Charles P.; Turner, Mark D.
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
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