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The following checklist demonstrates the principal values [unless normally indicated] of your inverse hyperbolic functions expressed when it comes to logarithmic capabilities that are taken as genuine valued.
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You can find numerous equivalent approaches for defining the hyperbolic capabilities. They could be defined when it comes to the exponential function:
coth x = cosh x sinh x = e x + e − x e x − e − x = displaystyle coth x= frac cosh x sinh x = frac e^ x +e^ -x e^ x -e^ -x =
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