Derived math functions

See Also        

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

Function Derived equivalents
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)) + 2 * Atn(1)
Inverse Secant Arcsec([X]) = Atn([X] / Sqr([X] * [X] - 1)) + Sgn(([X]) - 1) * (2 * Atn(1))
Inverse Cosecant Arccosec([X]) = Atn([X] / Sqr([X] * [X] - 1)) + (Sgn([X]) - 1) * (2 * Atn(1))
Inverse Cotangent Arccotan([X]) = Atn([X]) + 2 * Atn(1)
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 to base N LogN([X]) = Log([X]) / Log(N)