The hyperbolic tangent and secant are defined as sinh tanha cosh a 1 cosh a sech a Find the following. d da (tanh) d (sinhr) da (You may want to refer to the fact that fundamental hyperbolic identity cosh²z - sinh² = 1) x = cosh z and d da (cosh z) = sinhæ, and the

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 40E
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The hyperbolic tangent and secant are defined as
tanhr =
sinhr
cosh z
1
cosh z
sech
Find the following.
d
(tanhr)
dx
(You may want to refer to the fact that
fundamental hyperbolic identity cosh²
d
(sinh x) = cosh z and
dx
- sinh?r=1)
d
dx
(cosh z) =
= sinh x, and the
Transcribed Image Text:The hyperbolic tangent and secant are defined as tanhr = sinhr cosh z 1 cosh z sech Find the following. d (tanhr) dx (You may want to refer to the fact that fundamental hyperbolic identity cosh² d (sinh x) = cosh z and dx - sinh?r=1) d dx (cosh z) = = sinh x, and the
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