Elementary Transcendental Functions
|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|
|InverseHaversine[z]||inverse haversine function|
|InverseGudermannian[z]||inverse Gudermannian function|
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 .