mathmari
Gold Member
MHB
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Hey! 
We have that $s=\frac{\sqrt{1-y^2}}{y}$ and $x=\text{arcsinh} (s)=\text{arcsinh} \frac{\sqrt{1-y^2}}{y}$. How can we simplify this?
According to my book it is $x=\text{arccosh} \frac{1}{y}$. How do we get that? (Wondering)

We have that $s=\frac{\sqrt{1-y^2}}{y}$ and $x=\text{arcsinh} (s)=\text{arcsinh} \frac{\sqrt{1-y^2}}{y}$. How can we simplify this?
According to my book it is $x=\text{arccosh} \frac{1}{y}$. How do we get that? (Wondering)