Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 5 - Section 5.5 - Inverse Trigonometric Functions and Their Graphs - 5.5 Exercises - Page 445: 42

Answer

$\pi/4$

Work Step by Step

So we know that arcsin isn't defined for quadrant 2 values since $11\pi/4$ is the same as $3\pi/4$. So we look directly across the y axis to an equivalent input. That would be $\pi/4$.
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