Trigonometry (10th Edition)

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 36: 40

Answer

Quadrant II

Work Step by Step

1. If secant is negative, that means x must be negative (since r is always positive). This happens in quadrants II and III 2. For cotangent to be negative, the x and y must be different sign. This can happen in quadrants II and IV. 3. For both conditions to be met, we must be in Quadrant II.
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