Trigonometry (10th Edition)

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

Chapter 6 - Inverse Circular Functions and Trigonometric Equations - Section 6.4 Equations Involving Inverse Trigonometric Functions - 6.4 Exercises - Page 280: 46

Answer

$2.2824$ Refer to the graph below.

Work Step by Step

Use a graphing calculator to graph $y=\pi\cdot \sin^{-1}{(0.2x)}-3$ and $y=-\sqrt{x}$. The x-coordinate of the point of intersection, which is $(2.2824, -1.5108)$. is the solution to the equation. Therefore, the solution to the given equation is $2.2824$.
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