Calculating hyperbolic distance between two points

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I was looking for a formula to calculate the hyperbolic distance between two planes and came across this formula

$$\ln\left(\csc b-\cot b\over \csc a - \cot a\right)$$ where $a$ and $b$ are the angles from the positive real axis, with $b$ being the larger angle.

I wanted to confirm if there was another way of finding the hyperbolic distance or if this was it.