# Inverse hyperbolic functions

## Calculates the inverse hyperbolic functions asinh(x), acosh(x) and atanh(x).

x

asinh(x)
acosh(x)
atanh(x)
 $\normal Inverse\ Hyperbolic\ functions\\\vspace{5}(1)\ sinh^{-1}(x)=\ln(x+\sqrt{x^2+1})\\\vspace{5}(2)\ cosh^{-1}(x)=\ln(x+\sqrt{x^2-1})\ ; x\geq1\\(3)\ tanh^{-1}(x)={\large\frac{1}{2}}ln({\large\frac{1+x}{1-x}})\ ; |x|<1\\$

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