Answer
$1$
Work Step by Step
The sine is an odd function so
$\sin{(-\theta)} = - \sin{\theta}$
Thus,
$\sin{\left(- \dfrac{ 3\pi}{2} \right) } = - \sin{\left( \dfrac{ 3 \pi}{2} \right) } = -(-1)=\boxed{1}$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 5 - Trigonometric Functions - Section 5.3 Properties of the Trigonometric Functions - 5.3 Assess Your Understanding - Page 418: 72
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