(a) Define the following hyperbolic functions directly in terms of the exponential function (i) sinh(x). (ii) cosh(x). (iii) tanh(x). (iv) cosech(x). (v) sech(x). (vi) coth(x).
(a) Define the following hyperbolic functions directly in terms of the exponential function (i) sinh(x). (ii) cosh(x). (iii) tanh(x). (iv) cosech(x). (v) sech(x). (vi) coth(x).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 40RE
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(a) Define the following hyperbolic functions directly in terms of the exponential function
(i) sinh(x).
(ii) cosh(x).
(iii) tanh(x).
(iv) cosech(x).
(v) sech(x).
(vi) coth(x).
(b) Sketch, on separate graphs, each of the functions in part (a).
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