Hyperbolic cosine calculator
Enter a number x and get cosh(x), with the formula it comes from.
Decimals may use a point or a comma. A sum works too, such as 2^10 or sqrt(2).
Fill in the fields; the answer appears here straight away.
How it's worked out
How it works
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Enter the values
Type the numbers or the formula. Decimals may use a point or a comma. No idea? Click Fill in an example.
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Instant answer
The answer appears as you type, with the most important intermediate values.
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See the working
Under "How it's worked out" you see the steps, handy for checking your own calculation.
Definition
cosh(x) = (eˣ + e⁻ˣ) / 2. It is always at least 1, with cosh(0) = 1, and it is symmetric: cosh(−x) = cosh(x).
The catenary
A cable or chain hanging freely between two points takes the shape y = a · cosh(x / a), called a catenary. That is why cosh appears in the design of bridges, power lines and arches. See also sinh and tanh.
Frequently asked questions
Is the hyperbolic cosine (cosh) free?
Yes. The hyperbolic cosine (cosh) is completely free, with no account, sign-up or usage limit.
How accurate is the result?
The tool calculates with your browser's number precision. For important calculations, always double-check what you entered.
Does it work on my phone?
Yes. The tool works in any modern browser on a phone, tablet or computer.