Hyperbolic Definition
The six basic hyperbolic functions are,
- Hyperbolic sine or sinh x
- Hyperbolic cosine or cosh x
- Hyperbolic tangent or tanh x
- Hyperbolic cosecant or cosech x
- Hyperbolic secant or sech x
- Hyperbolic cotangent or coth x
Hyperbolic functions are defined using exponential functions. They are represented as, sinh x which is read as hyperbolic sinh x. Then the sinh x is defined as,
sinh x = (ex + e-x)/2
Similarly, other hyperbolic functions are defined.
Hyperbolic Function
Hyperbolic Functions are similar to trigonometric functions but their graphs represent the rectangular hyperbola. These functions are defined using hyperbola instead of unit circles. Hyperbolic functions are expressed in terms of exponential functions ex.
In this article, we will learn about the hyperbolic function in detail, including its definition, formula, and graphs.
Table of Content
- What are Hyperbolic Functions?
- Hyperbolic Functions Formulas
- Domain and Range of Hyperbolic Functions
- Properties of Hyperbolic Functions
- Hyperbolic Trig Identities
- Inverse Hyperbolic Functions