Elementary Transcendental Functions
Exp[z] | exponential function ![]() |
Log[z] | logarithm ![]() |
Log[b,z] | logarithm ![]() ![]() |
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] | |
hyperbolic functions | |
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.
You can convert from degrees by explicitly multiplying by the constant Degree.
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
.