Inverse hyperbolic functions
Inverse hyperbolic functions: sinh-1, cosh-1, tanh-1, and csch -1, sech-1, and coth-1. (Supports complex numbers)
| sinh-1(x) | |
| cosh-1(x) | |
| tanh-1(x) | |
| csch-1(x) | = sinh-1(1/x) |
| sech-1(x) | = cosh-1(1/x) |
| coth-1(x) | = tanh-1(1/x) |
| \(\normalsize Inverse\ Hyperbolic\ functions\\ (1)\ \sinh^{-1}(x)=\ln(x+\sqrt{x^2+1})\\ (2)\ \cosh^{-1}(x)=\ln(x+\sqrt{x^2-1})\ ; x\geq1\\ (3)\ \tanh^{-1}(x)={\large\frac{1}{2}}\ln({\large\frac{1+x}{1-x}})\ ; |x|<1\\\) |
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