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) |