Trigonometry (10th Edition)

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

Chapter 1 - Review Exercises - Page 42: 39

Answer

a) not possible b) possible c) possible

Work Step by Step

a) For any angle $\theta$, secant cannot be in following interval $-1\lt\sec\theta\lt1$, therefore $\sec\theta=\frac{-2}{3}$ is impossible b) Tangent can be any real number, therefore $\tan\theta=1.4$ is possible. c) For any angle $\theta$, cosecant cannot be in following interval $-1\lt\csc\theta\lt1$, therefore $\csc\theta=5$ is possible.
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