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Microsoft® Visual Basic® Scripting Edition Derived Math Functions |
Language Reference Version 1 |
The following nonintrinsic math functions 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)