Derived Math Functions

The following is a list of nonintrinsic mathematical functions that can be derived from the intrinsic math functions provided with Visual Basic:

Function                              Visual Basic equivalent

Secant                                             Sec(X) = 1 / Cos(X)

Cosecant                                         Cosec(X) = 1 / Sin(X)

Cotangent                                        Cotan((X) = 1 / Tan(X)

Inverse Sine                                     Arcsin(X) = Atn(X / Sqr(-X * X + 1))

Inverse Cosine                                 Arccos(X) = Atn(-X / Sqr(-X * X + 1)) + 1.5708

Inverse Secant                                 Arcsec(X) = Atn(X / Sqr(X * X - 1)) + Sgn(Sgn(X) -1) * 1.5708

Inverse Cosecant                        Arccosec(X) = Atn(X/Sqr(X * X - 1)) + (Sgn(X) - 1) * 1.5708

Inverse Cotangent                       Arccotan(X) = Atn(X) + 1.5708

Hyperbolic Sine                                HSin(X) = (Exp(X) - Exp(-X)) / 2

Hyperbolic Cosine                      HCos(X) = (Exp(X) + Exp(-X)) / 2

Hyperbolic Tangent                     HTan(X) = (Exp(X) - Exp(-X)) / (Exp(X) + Exp(-X))

Hyperbolic Secant                      HSec(X) = 2 / (Exp(X) + Exp(-X))

Hyperbolic Cosecant                   HCosec(X) = 2 / (Exp(X) - Exp(-X))

Hyperbolic Cotangent                  HCotan(X) = (Exp(X) + Exp(-X)) / (Exp(X) - Exp(-X))

Inverse Hyperbolic Sine                HArcsin(X) = Log(X + Sqr(X * X + 1))

Inverse Hyperbolic Cosine             HArccos(X) = Log(X + Sqr(X * X - 1))

Inverse Hyperbolic Tangent            HArctan(X) = Log((1 + X) / (1 - X)) / 2

Inverse Hyperbolic Secant             HArcsec(X) = Log((Sqr(-X * X + 1) + 1) / X)

Inverse Hyperbolic Cosecant          HArccosec(X) = Log((Sgn(X) * Sqr(X * X + 1) +1) / X)

Inverse Hyperbolic Cotangent         HArccotan(X) = Log((X + 1) / (X - 1)) / 2

Logarithm                                        LogN(X) = Log(X) / Log(N)