The hyperbolic functions enjoy properties similar to the trigonometric functions; their definitions, though, are much more straightforward:
Here are their graphs: the
As their trigonometric counterparts, the
Their most important property is their version of the Pythagorean Theorem.
While
In the picture below, the standard hyperbola is depicted in red, while the point
The other hyperbolic functions are defined the same way, the rest of the trigonometric functions is defined:
For every formula for the trigonometric functions, there is a similar (not necessary identical) formula for the hyperbolic functions:
Let's consider for example the addition formula for the hyperbolic cosine function:
No comments:
Post a Comment