Work out hyperbolic cosine instantly with clear inputs, formula shown and shareable results.
The hyperbolic cosine is cosh x = (eˣ + e⁻ˣ)/2, the even part of the exponential. It is never less than 1, and the curve y = a·cosh(x/a) is the catenary traced by a freely hanging chain.
Hyperbolic cosine
cosh x = (eˣ + e⁻ˣ) / 2
Catenary
y = a·cosh(x / a)
(e + 1/e)/2 ≈ 1.5430806.
No, though they look similar near the bottom. A hanging chain is a catenary; a parabola arises when the load is uniform per horizontal distance, as in a suspension bridge deck.