Hyperbolic functions hyperbolic sine sinh x and hyperbolic cosine cosh x Graphs and Taylor formula.

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Salvo Romeo

Published on Jul 8, 2022
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What are hyperbolic functions such as hyperbolic sine, hyperbolic cosine and hyperbolic tangent? These are among the basic functions that must be part of the cultural background of every student of any scientific faculty since their use is very frequent. In the first part we will describe the first two functions, namely the hyperbolic sine (sin x) and the hyperbolic cosine (cosh x) describing all the properties and we will also draw a detailed graph for each function. Subsequently we will clarify the reasons for the name of the term hyperbolic, making a brief analogy with the fairly well-known trigonometric functions. We will get to draw an equilateral hyperbola. The lesson will continue with the construction of the Taylor formula of both functions obtaining important results easily assimilated according to a logic. The lesson will conclude with the presentation of the hyperbolic tangent and hyperbolic cotangent functions with the related graphs. #salvoromeo #hyperbolicfunctions #hyperboliccosine

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