Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 6 - Inverse Circular Functions and Trigonometric Equations - Section 6.1 Inverse Circular Functions - 6.1 Exercises - Page 264: 47


$\theta$ does not exist.

Work Step by Step

RECALL: The range of the sine functoin $y=\sin{x}$ is $[-1, 1]$. $\theta=\sin^{-1}{2}$ means $\sin{\theta}=2$ Since the range of the sine function is onnly from -1 to 1, then no angle would have a sine value of $2$. Thus, there is no angle $\theta$ such that $\sin{\theta} = 2$.
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