VBS TUTORIAL: Functions-derived mathematical functions _vbs

Deriving mathematical functions

The following are non-intrinsic mathematical functions derived from intrinsic mathematical functions:

function	the derived equivalent formula
Secant (secant)	SEC (x) = 1/cos (x)
Cosecant (more cut)	Cosec (x) = 1/sin (x)
Cotangent (cotangent)	Cotan (x) = 1/tan (x)
Inverse Sine (anyway chord)	Arcsin (x) = Atn (X/SQR (-X * x + 1))
Inverse cosine (anti-cosine)	Arccos (x) = Atn (-X/SQR (-X * x + 1)) + 2 * ATN (1)
Inverse secant (anyway cut)	ARCSEC (x) = Atn (X/SQR (x * X-1)) + SGN ((x)-1) * (2 * ATN (1))
Inverse cosecant (anti-surplus cut)	Arccosec (x) = Atn (X/SQR (x * X-1)) + (SGN (x)-1) * (2 * ATN (1))
Inverse cotangent (anti-cotangent)	Arccotan (x) = Atn (x) + 2 * ATN (1)
Hyperbolic Sine (hyperbolic sine)	HSin (x) = (exp (x)-exp (-X))/2
Hyperbolic cosine (hyperbolic cosine)	Hcos (x) = (exp (x) + EXP (-X))/2
Hyperbolic Tangent (hyperbolic tangent)	Htan (x) = (exp (x)-exp (-X))/(EXP (X) + exp (-X))
Hyperbolic secant (hyperbolic secant)	Hsec (x) = 2/(exp (x) + exp (-X)
Hyperbolic cosecant (double curved Cut)	Hcosec (x) = 2/(exp (x)-exp (-X)
Hyperbolic cotangent (hyperbolic cotangent)	Hcotan (x) = (exp (x) + exp (-X))/(exp (x)-exp (-X))
Inverse hyperbolic Sine (inverse hyperbolic sine)	Harcsin (x) = Log (x + SQR (x * x + 1))
Inverse hyperbolic cosine (inverse hyperbolic cosine)	Harccos (x) = Log (x + SQR (x * X-1))
Inverse hyperbolic Tangent (inverse hyperbolic tangent)	Harctan (x) = Log ((1 + x)/(1-x))/2
Inverse hyperbolic secant (anti-hyperbolic secant)	Harcsec (x) = Log ((SQR * x + 1) + 1)/x)
Inverse hyperbolic cosecant (anti-hyperbolic cut)	Harccosec (x) = Log ((SGN (x) * SQR (x * x + 1) + 1)/x)
Inverse hyperbolic cotangent (anti-hyperbolic cotangent)	Harccotan (x) = Log ((x + 1)/(X-1))/2
Logarithm with N as the base	Logn (x) = log (x)/log (N)