Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 1 - Trigonometric Functions - Section 1.3 Trigonometric Functions - 1.3 Exercises - Page 26: 24

Answer

sin, cos, csc, and sec : negative tan and cot: positive

Work Step by Step

1. x is negative y is negative r is always positive 2. $\sin\theta=\frac{y}{r}=\frac{-}{+}=-$ $\cos\theta=\frac{x}{r}=\frac{-}{+}=-$ $\tan\theta=\frac{y}{x}=\frac{-}{-}=+$ 3. The other three trig functions will have the same signs because they are just reciprocal
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