Since cosh is based on the exponential function, it has the same period as the exponential function, namely, 2 pi i.Note: If you consider only the real numbers, the exponential function, as well as cosh, are NOT periodic.
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The general formula of a catenary is y = a*cosh(x/a) = a/2*(ex/a + e-x/a) cosh is the hyperbolic cosine function
The actual value depends on the argument. The ratio sinh x / cosh x can be written as tanh x. This is analogous to the trigonometric functions.
y = 3 sin x The period of this function is 2 pi.
2
(x)=(1- cosh (ix))/2