Function: acosh Section: transcendental C-Name: gacosh Prototype: Gp Help: acosh(x): inverse hyperbolic cosine of x. Doc: principal branch of $\text{cosh}^{-1}(x) = 2 \log(\sqrt{(x+1)/2} + \sqrt{(x-1)/2})$. In particular, $\text{Re}(\text{acosh}(x))\geq 0$ and $\text{In}(\text{acosh}(x))\in ]-\pi,\pi]0$; if $x\in \R$ and $x<1$, then $\text{acosh}(x)$ is complex.