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Hyperbolic calculator

Calculate hyperbolic sine, cosine and tangent and see their curves.

How it works Report a problem

Hyperbolic calculator

Enter your values below and press Calculate to see your result instantly.

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Real Argument Limit (x)
The Derived Scaling Value
1.1752
EXPONENTIAL (e^x) SEED
2.7183
GEOMETRIC MANIFESTATION
Hyperbola Trajectory
Calculations complete.

About the Hyperbolic calculator

Calculate hyperbolic sine, cosine and tangent and see their curves.

How to use the Hyperbolic calculator

  1. Choose sinh, cosh or tanh.
  2. Enter the Real Argument (x).
  3. Press Plot Hyperbolic Function.

Formula and method

sinh x = (eˣ − e⁻ˣ) ÷ 2, cosh x = (eˣ + e⁻ˣ) ÷ 2 and tanh x = sinh x ÷ cosh x.

Worked example

sinh(1) ≈ 1.1752, cosh(1) ≈ 1.5431 and tanh(1) ≈ 0.7616.

Tips

  • cosh x is never less than 1.
  • Hyperbolic functions describe hanging cables (catenary) and relativity.

Frequently asked questions

How are hyperbolic and trig functions related?
They are defined from the exponential function in a similar way, but relate to a hyperbola instead of a circle.