Hyperbolic functions
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Graphs of the hyperbolic functions
Equations are omitted for technical reasons - download the original pdf
The graphs of these hyperbolic functions are drawn by adding the exponential curves on which they are defined: [Equation goes here - download the original to see it.] [Diagram goes here - download the original to see it.] This shows the graph y = ex-e-x=2sinh x. So sinh x is a scaling of this graph by ½. [Diagram goes here - download the original to see it.] The graphs of cosh x and tanh x are: [Diagram goes here - download the original to see it.] [Diagram goes here - download the original to see it.] We already saw this with the rope proble. [Diagram goes here - download the original to see it.]
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Contents of
Hyperbolic functions
1 Hyperbolic Functions - The need for hyperbolic functions
2 Definitions of the hyperbolic functions
3 Graphs of the hyperbolic functions
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