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(Solved): Consider the hyperbolic functions, and their inverses, as real functions of a ...
Consider the hyperbolic functions, and their inverses, as real functions of a real variable. (a) Define the following hyperbolic functions directly in terms of the exponential function (i) sinh. (ii) cosh. (iii) sech. (b) Sketch, on separate graphs, each of the functions in part (a).
Expert Answer
The hyperbolic functions can be expressed as in terms of the exponential function (i) sinh?(x)=ex?e?x2; (ii) cosh?(x)=ex+e?x2; (ii)sech (x) =1cosh?(x)