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.