Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 4 - Section 4.7 - Inverse Trigonometric Functions - 4.7 Problem Set - Page 263: 92

Answer

x

Work Step by Step

Let $\sin ^ {–1} \frac{1}{x} = \theta$ then, $\sin \theta = \frac{1}{x}$ To evaluate $\csc (\sin ^ {–1} \frac{1}{x}) = \csc \theta$ We know that, $\csc \theta = \frac{1}{\sin \theta}$ Using above relations we get $\csc \theta = \frac{1}{\frac{1}{x}}$ $=> \csc \theta = x$
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