Cosh Calculator – Hyperbolic Cosine
Calculate the hyperbolic cosine of a real, dimensionless input.
Formula
cosh(x) = (eˣ + e⁻ˣ)/2.
Hyperbolic cosine ≈ (exp((1))+exp(-(1)))÷2
How to use
- Enter a real value x.
- Use a dimensionless number, not degrees.
- Read cosh(x), rounded to six decimals.
Examples
- cosh(ln 2) = (2 + 1/2)/2 = 1.25.
Frequently asked questions
Is cosh the same as cosine?
No. Cosh is defined by exponentials and is at least 1 for real x.
Can x be negative?
Yes. Cosh is even: cosh(−x) = cosh(x).
What is cosh(0)?
It is 1 because both exponential terms equal 1.
Sources
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