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Tanh is the hyperbolic tangent function, which is the hyperbolic analogue of the Tan circular function used throughout trigonometry. Tanh [Î±] is defined as the ratio of the corresponding hyperbolic sine and hyperbolic cosine functions via . Tanh may also be defined as , where is the base of the natural logarithm Log. Tanh automatically evaluates to exact values when its argument is the (natural) logarithm of a rational number.
greater accuracy, and few memorized values. To this end, this paper treats ï¬rst the function tanx in the ï¬rst quadrant, followed by the hyperbolic function tanhx (which is not treated in the book). Methods for the exponential function and its inverse, the logarithmic function, are also given in the book.