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Hyperbolic functions


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Definitions of the hyperbolic functions


Equations are omitted for technical reasons - download the original pdf

Hyperbolic sine of x (sinh x) [Equation goes here - download the original to see it.] Hyperbolic cosine of x (cosh x) [Equation goes here - download the original to see it.] Hyperbolic tangent of x (tanh x) [Equation goes here - download the original to see it.] Hyperbolic secant of x (sech x) [Equation goes here - download the original to see it.] Hyperbolic cosecant of x (cosech x) [Equation goes here - download the original to see it.] Hyperbolic cotangent of x [Equation goes here - download the original to see it.] Straightforward applications of these definitions are illustrated by the following example. Example of Hyperbolic Functions Find the value of x such that tanh x = 3/4. [Equation goes here - download the original to see it.]
Contents of
Hyperbolic functions

1 Hyperbolic Functions - The need for hyperbolic functions
2 Definitions of the hyperbolic functions
3 Graphs of the hyperbolic functions

Related articles: (1) Derivatives of exponential and logarithmic functions, (2) Hyperbolic functions