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Calculators / Math / Hyperbolic functions

Hyperbolic functions calculator

Evaluate sinh, cosh and tanh for a real argument.

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Your result

Hyperbolic sine1.18
Hyperbolic cosine1.54
Hyperbolic tangent0.76

Calculator controls

How to calculate

Evaluate sinh, cosh and tanh for a real argument.

Hyperbolic sine = (exp(x)-exp(-x))/2; Hyperbolic cosine = (exp(x)+exp(-x))/2; Hyperbolic tangent = (exp(x)-exp(-x))/(exp(x)+exp(-x))

Worked example

Argument: 1.

Hyperbolic sine: 1.18 ; Hyperbolic cosine: 1.54 ; Hyperbolic tangent: 0.76 .

Assumptions and limits

The argument is dimensionless and limited to −100 through 100 to keep finite numerical results. Hyperbolic functions are distinct from circular trigonometry.

Results are rounded for display; calculations use unrounded values. Read our calculation methodology.

Understanding the result

Evaluate sinh, cosh and tanh for a real argument.

When this tool is useful

Hyperbolic sine = (exp(x)-exp(-x))/2; Hyperbolic cosine = (exp(x)+exp(-x))/2; Hyperbolic tangent = (exp(x)-exp(-x))/(exp(x)+exp(-x))

Understanding your inputs

InputWhat to enter
ArgumentEnter a number of at least -100 and no more than 100.

Frequently asked questions

What assumptions does this calculation use?

The argument is dimensionless and limited to −100 through 100 to keep finite numerical results. Hyperbolic functions are distinct from circular trigonometry.

How is the result calculated?

Hyperbolic sine = (exp(x)-exp(-x))/2; Hyperbolic cosine = (exp(x)+exp(-x))/2; Hyperbolic tangent = (exp(x)-exp(-x))/(exp(x)+exp(-x))