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Hyperbolic Cosine (cosh) Calculator

Math

Calculate the hyperbolic cosine of a number.

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cosh(x)

1.543081

The hyperbolic cosine 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 cosine?

Hyperbolic cosine (cosh) is defined using the exponential function: cosh(x) = (e^x + e^-x) / 2.

How is cosh different from cos?

They are unrelated despite the similar name: cos is periodic and bounded between -1 and 1, while cosh is unbounded, always at least 1, and grows without limit as x moves away from zero in either direction.

Where is hyperbolic cosine used?

Cosh describes the shape of a catenary, the curve formed by a chain or cable hanging freely under its own weight between two supports.

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