Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 7 - Analytic Trigonometry - 7.2 The Inverse Trigonometric Functions (Continued) - 7.2 Assess Your Understanding - Page 458: 46



Work Step by Step

Note that $\csc {x}=\frac{1}{\sin{(x)}}$,. Hence, $\csc^{-1}{x}=\sin^{-1} {\left(\frac{1}{x}\right)}$. Use a calculator in radian mode and round the result to decimal places to obtain $\csc^{-1}{(5)}=\sin^{-1} {\left(\frac{1}{5}\right)}\approx0.20$
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