Graphs of Hyperbolic Functions

Learn to recognise the basic graphs of various hyperbolic functions, their reciprocals, squares and inverses. Their graphs can be plotted separately or together, so that the relationships between them can be seen.
Identities such as cosh²x - sinh²x = 1 become almost obvious.

Author and programmer: Ron Barrow

UK Years 12-13 Further Mathematics

   
           

Instructions below    See also:   Trigonometric Functions

[Applet failed to run. No Java plug-in was found.]

How to Use this Applet

The screen is designed to help you to visualize the principal hyperbolic functions sinh, cosh and tanh. You can also see their inverses, their reciprocal functions and squared functions. Relationships between these functions can be investigated. Identities such as cosh²x - sinh²x = 1 become clear.

To look at a function, check the relevant box on the right of the screen. You can choose which ones to draw and compare.
Play around. I hope you will find this applet helpful in understanding these important functions.