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 MathematicsTweet
Instructions below See also: Trigonometric Functions
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.