Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 6 - Exponential, Logarithmic, And Inverse Trigonometric Functions - 6.8 Hyperbolic Functions And Hanging Cables - Exercises Set 6.8: 45

Answer

True.

Work Step by Step

Dividing each side of the equation by $\cosh(x)$ yields $$1=\tanh(x)$$ $\tanh(x)$ has a horizontal asymptote at $y=1$, so $\tanh^{-1}(1)$ is undefined and there is no solution.
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