Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 5 - Trigonometric Functions - 5.2 Trigonometric Functions - 5.2 Exercises - Page 520: 153

Answer

Negative.

Work Step by Step

$90^{\circ}\lt\theta\lt 180^{\circ}\implies180^{\circ}\lt2\theta\lt 360^{\circ}$ The sine function is negative as the angle $2\theta$ is in between $180^{\circ}$ and $360^{\circ}$( third and fourth quadrants).
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