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Hyperbolic Sine, Cosine, and Tangent from x Calculator

sinh x = (eˣ−e⁻ˣ)/2; cosh x = (eˣ+e⁻ˣ)/2.

Compute the hyperbolic functions sinh(x), cosh(x), tanh(x), and their reciprocals csch, sech, coth at a given x. Hyperbolic functions appear in the catenary curve, special relativity (rapidity), and solutions to differential equations.

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

sinh x = (eˣ−e⁻ˣ)/2; cosh x = (eˣ+e⁻ˣ)/2.

In depth

Compute the hyperbolic functions sinh(x), cosh(x), tanh(x), and their reciprocals csch, sech, coth at a given x. Hyperbolic functions appear in the catenary curve, special relativity (rapidity), and solutions to differential equations.