Hyperbolic Function Calculator

This calculator helps you compute hyperbolic functions such as sinh, cosh, and tanh with ease. It's ideal for students, educators, and professionals dealing with trigonometry.

Data Source and Methodology

All calculations are based on standard hyperbolic function formulas. Accurate results are obtained through mathematical computation.

The Formula Explained

Hyperbolic Sine: sinh(x) = (e^x - e^-x) / 2

Hyperbolic Cosine: cosh(x) = (e^x + e^-x) / 2

Hyperbolic Tangent: tanh(x) = sinh(x) / cosh(x)

Glossary of Terms

sinh(x): The hyperbolic sine of x.
cosh(x): The hyperbolic cosine of x.
tanh(x): The hyperbolic tangent of x.
x: The input value for which the hyperbolic functions are calculated.

How It Works: A Step-by-Step Example

For example, to calculate sinh(2):

Input x = 2.
Compute e^2 and e^-2.
Apply the formula: sinh(2) = (e^2 - e^-2) / 2.

Frequently Asked Questions (FAQ)

What are hyperbolic functions?

Hyperbolic functions are analogues of trigonometric functions but for a hyperbola instead of a circle.

How are hyperbolic functions used?

They are used in various branches of mathematics, including geometry, calculus, and complex analysis.

What is the significance of sinh, cosh, and tanh?

These functions model real-world phenomena such as the shape of a hanging cable or the orbit of an object in space.

Is the input value limited to any specific range?

No, you can input any real number for x.

Can hyperbolic functions be negative?

Yes, depending on the input value, sinh(x) and tanh(x) can be negative.