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Hyperbolic Sine (sinh) Calculator

Math

Calculate the hyperbolic sine of a number.

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sinh(x)

1.175201

The hyperbolic sine of x, (e^x - e^-x) / 2.

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Odeh Ahwal

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Odeh Ahwal
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Frequently Asked Questions

What is hyperbolic sine?

Hyperbolic sine (sinh) is defined using the exponential function: sinh(x) = (e^x - e^-x) / 2. It relates to a hyperbola the way ordinary sine relates to a circle.

How is sinh different from sin?

Despite the similar name and notation, they are unrelated functions with different definitions: sin is based on angles and circles, while sinh is based on exponentials and hyperbolas. Sinh is not periodic and grows without bound as x increases.

Where is hyperbolic sine used?

It appears in physics and engineering contexts like the shape of a hanging cable (a catenary), special relativity, and solutions to certain differential equations.

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