csch2x
The hyperbolic cosecant function, denoted as csch(x) or csch2x, is a mathematical function defined as the reciprocal of the hyperbolic sine function. Specifically, csch(x) = 1 / sinh(x). The hyperbolic sine function, sinh(x), is defined in terms of the exponential function as sinh(x) = (e^x - e^-x) / 2. Therefore, csch(x) can also be expressed as csch(x) = 2 / (e^x - e^-x).
The domain of the csch(x) function is all real numbers except for x = 0, because sinh(0) =
In the context of the hyperbolic functions, csch(x) plays a role analogous to the cosecant function (csc(x))