📐 Hyperbolic Functions Calculator
Calculate hyperbolic trigonometric functions
How to Use This Calculator
1
Enter Value
Type the value of x
2
Calculate
See all six hyperbolic functions
Hyperbolic Function Definitions
Definitions using exponentials
- sinh x = (eˣ - e⁻ˣ) / 2
- cosh x = (eˣ + e⁻ˣ) / 2
- tanh x = sinh x / cosh x
- csch x = 1 / sinh x
- sech x = 1 / cosh x
- coth x = 1 / tanh x
About Hyperbolic Functions Calculator
The Hyperbolic Functions Calculator computes all six hyperbolic trigonometric functions. These functions are analogous to circular (trigonometric) functions but based on hyperbolas rather than circles. They appear in many areas of mathematics and physics.
Key Relationships
- cosh² x - sinh² x = 1
- tanh² x + sech² x = 1
- coth² x - csch² x = 1
Applications
- Catenary curves (cables, arches)
- Special relativity
- Calculus and differential equations
Frequently Asked Questions
What's the difference between hyperbolic and circular functions?
Hyperbolic functions use exponentials and are related to hyperbolas. Circular (trig) functions use circles and are periodic.
Are hyperbolic functions periodic?
No. Unlike circular functions, hyperbolic functions are not periodic.