This tool helps to find the Hyperbolic Sine value of X. And in addition it shows the result for all other hyperbolic functions. Please enter the value(X) and click the "Calculate" button to see the results.
| Other Hyperbolic Functions | |
| Sinh (X): | |
| Cosh (X): | |
| tanh (X): | |
| coth (X): | |
| sech (X): | |
| csch (X): | |
In mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle. Just as the points (cos t, sin t) form a circle with a unit radius, the points (cosh t, sinh t) form the right half of the unit hyperbola. Also, just as the derivatives of sin(t) and cos(t) are cos(t) and –sin(t), the derivatives of sinh(t) and cosh(t) are cosh(t) and +sinh(t).
Hyperbolic functions occur in the calculations of angles and distances in hyperbolic geometry. They also occur in the solutions of many linear differential equations (such as the equation defining a catenary), cubic equations, and Laplace's equation in Cartesian coordinates. Laplace's equations are important in many areas of physics, including electromagnetic theory, heat transfer, fluid dynamics, and special relativity.