Elementary Transcendental Functions

Exp[z]	exponential function
Log[z]	logarithm
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]
	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.

The Wolfram Language gives exact results for logarithms whenever it can. Here is .

In[1]:=

Out[1]=

In[2]:=

Out[2]=

In[3]:=

Out[3]=

In[4]:=

Out[4]=

In[5]:=

Out[5]=

In[6]:=

Out[6]=

In[7]:=

Out[7]=

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 .