Answer
positive
Work Step by Step
1. With $-90^{\circ}\lt 2\theta\lt 90^{\circ}$, then $-45^{\circ}\lt \theta \lt 45^{\circ}$
2. This means that $\theta $ is in QI or QIV, where $x\gt0$
3. Therefore $\\sec( \theta)\gt 0$
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: 94
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