Answer
negative
Work Step by Step
1. With $90^{\circ}\lt \theta\lt 180^{\circ}$, then $-180^{\circ}\lt -\theta \lt -90^{\circ}$
2. This means that $-\theta $ is in QIII, where $x\lt0$ and $y\lt0$
3. Therefore $\\sec( -\theta)\lt 0$
Trigonometry (10th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
0321671775
ISBN 13:
978-0-32167-177-6
Chapter 1 - Trigonometric Functions - Section 1.4 Using the Definitions of the Trigonometric Functions - 1.4 Exercises - Page 37: 92
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