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Hyperbolic Functions

Result

sinh(x)1.1752
cosh(x)1.5431
tanh(x)0.7616
cosh²(x) - sinh²(x)1.0000
↗ Math

Hyperbolic Functions — free online calculator.

Formula

sinh(x) = (eˣ - e⁻ˣ)/2; cosh(x) = (eˣ + e⁻ˣ)/2; tanh(x) = sinh(x)/cosh(x)
  • Hyperbolic Functions calculates its result from Ex, X. It uses the formula sinh(x) = (eˣ - e⁻ˣ)/2; cosh(x) = (eˣ + e⁻ˣ)/2; tanh(x) = sinh(x)/cosh(x). Change any input to recalculate the result instantly.
  • The main inputs are X Value. Enter them in the units and format shown in the calculator.
  • Keep comparable quantities in compatible units whenever the formula combines or compares them.
  • Changing any input above recalculates the result with the same calculation engine used by this page.

Example: Hyperbolic Functions

Inputs
  • X Value: 1

Using Ex = 2, X = 3, the calculated result is 0.9514222046.

Sample result: Calculating…

Frequently asked questions

What does the Hyperbolic Functions calculate?

Hyperbolic Functions — free online calculator.

Which values should I enter?

Enter X Value using the units and format shown beside each field.

What formula does this calculator use?

The calculator uses the following relationship: sinh(x) = (eˣ - e⁻ˣ)/2; cosh(x) = (eˣ + e⁻ˣ)/2; tanh(x) = sinh(x)/cosh(x).

Why might my result differ from another source?

Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.

Does the result update automatically?

Yes. Changing an input updates the result using the same calculation engine shown on this page.

Page information

Updated: October 10, 2026