WOLFRAM LANGUAGE TUTORIAL
Elementary Transcendental Functions
|Exp[z]||exponential function |
|Log[b,z]||logarithm to base |
|Log2[z], Log10[z]||logarithm to base 2 and 10|
|Sin[z], Cos[z], Tan[z], Csc[z], Sec[z], Cot[z]|
|trigonometric functions (with arguments in radians)|
|ArcSin[z], ArcCos[z], ArcTan[z], ArcCsc[z], ArcSec[z], ArcCot[z]|
|inverse trigonometric functions (giving results in radians)|
|ArcTan[x,y]||the argument of |
|Sinh[z], Cosh[z], Tanh[z], Csch[z], Sech[z], Coth[z]|
|ArcSinh[z], ArcCosh[z], ArcTanh[z], ArcCsch[z], ArcSech[z], ArcCoth[z]|
|inverse hyperbolic functions|
|Sinc[z]||sinc function |
|Haversine[z]||haversine function |
|InverseHaversine[z]||inverse haversine function |
|Gudermannian[z]||Gudermannian function |
|InverseGudermannian[z]||inverse Gudermannian function |
Elementary transcendental functions.
The Wolfram Language gives exact results for logarithms whenever it can. Here is
You can find the numerical values of mathematical functions to any precision.
This gives a complex number result.
The Wolfram Language can evaluate logarithms with complex arguments.
The arguments of trigonometric functions are always given in radians.
You can convert from degrees by explicitly multiplying by the constant Degree
Here is a plot of the hyperbolic tangent function. It has a characteristic "sigmoidal" form.
The haversine function Haversine[z] is defined by . The inverse haversine function InverseHaversine[z] is defined by . The Gudermannian function Gudermannian[z] is defined as . The inverse Gudermannian function InverseGudermannian[z] is defined by . The Gudermannian satisfies such relations as . The sinc function Sinc[z] is the Fourier transform of a square signal.
There are a number of additional trigonometric and hyperbolic functions that are sometimes used. The versine function is sometimes encountered in the literature and simply is . The coversine function is defined as . The complex exponential is sometimes written as .