Unlock the power of advanced mathematics with our Hyperbolic Functions Calculator. This essential online tool simplifies calculations for sinh(x), cosh(x), tanh(x), and their reciprocals (csch(x), sech(x), coth(x)), providing accurate results for any real number x. Ideal for engineers, physicists, and students, it helps solve complex problems in geometry, signal processing, and more with ease.
Formula:
The hyperbolic functions are analogous to the trigonometric functions, but are defined using the hyperbola rather than the circle. They are expressed in terms of the exponential function ex. For a real number x:
- Hyperbolic Sine (sinh x): sinh(x) = (ex - e-x) / 2
- Hyperbolic Cosine (cosh x): cosh(x) = (ex + e-x) / 2
- Hyperbolic Tangent (tanh x): tanh(x) = sinh(x) / cosh(x) = (ex - e-x) / (ex + e-x)
- Hyperbolic Cosecant (csch x): csch(x) = 1 / sinh(x)
- Hyperbolic Secant (sech x): sech(x) = 1 / cosh(x)
- Hyperbolic Cotangent (coth x): coth(x) = 1 / tanh(x)
Where e is Euler's number (approximately 2.71828).