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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.
The arctangent function is the inverse function of y = tan(x). arctan(y) = tan-1(y) = x+ kÏ. For every. k = {...,-2,-1,0,1,2,...}. For example, If the tangent of 45Â° is 1: tan(45Â°) = 1. Then the arctangent of 1 is 45Â°: arctan(1) = tan-1(1) = 45Â°.