Table of contents

# Derived Math Functions

office 365 dev account|Last Updated: 6/12/2017
|
1 Contributor

The following is a list of nonintrinsic math functions that can be derived from the intrinsic math functions:

FunctionDerived equivalents
SecantSec(X) = 1 / Cos(X)
CosecantCosec(X) = 1 / Sin(X)
CotangentCotan(X) = 1 / Tan(X)
Inverse SineArcsin(X) = Atn(X / Sqr(-X * X + 1))
Inverse CosineArccos(X) = Atn(-X / Sqr(-X * X + 1)) + 2 * Atn(1)
Inverse SecantArcsec(X) = Atn(X / Sqr(X * X - 1)) + Sgn((X) - 1) * (2 * Atn(1))
Inverse CosecantArccosec(X) = Atn(X / Sqr(X * X - 1)) + (Sgn(X) - 1) * (2 * Atn(1))
Inverse CotangentArccotan(X) = Atn(X) + 2 * Atn(1)
Hyperbolic SineHSin(X) = (Exp(X) - Exp(-X)) / 2
Hyperbolic CosineHCos(X) = (Exp(X) + Exp(-X)) / 2
Hyperbolic TangentHTan(X) = (Exp(X) - Exp(-X)) / (Exp(X) + Exp(-X))
Hyperbolic SecantHSec(X) = 2 / (Exp(X) + Exp(-X))
Hyperbolic CosecantHCosec(X) = 2 / (Exp(X) - Exp(-X))
Hyperbolic CotangentHCotan(X) = (Exp(X) + Exp(-X)) / (Exp(X) - Exp(-X))
Inverse Hyperbolic SineHArcsin(X) = Log(X + Sqr(X * X + 1))
Inverse Hyperbolic CosineHArccos(X) = Log(X + Sqr(X * X - 1))
Inverse Hyperbolic TangentHArctan(X) = Log((1 + X) / (1 - X)) / 2
Inverse Hyperbolic SecantHArcsec(X) = Log((Sqr(-X * X + 1) + 1) / X)
Inverse Hyperbolic CosecantHArccosec(X) = Log((Sgn(X) * Sqr(X * X + 1) + 1) / X)
Inverse Hyperbolic CotangentHArccotan(X) = Log((X + 1) / (X - 1)) / 2
Logarithm to base NLogN(X) = Log(X) / Log(N)
© 2017 Microsoft