Microsoft® Visual Basic® Scripting Edition Derived Math Functions | Language Reference Version 1

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##### Description

> 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)

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