Derived Math Functions (Visual Basic)
The following is a list of non-intrinsic math functions that can be derived from the intrinsic math functions:
Function |
Derived equivalents |
|---|---|
Secant (Sec(x)) |
1 / Cos(x) |
Cosecant (Csc(x)) |
1 / Sin(x) |
Cotangent (Ctan(x)) |
1 / Tan(x) |
Inverse sine (Asin(x)) |
Atan(x / Sqrt(-x * x + 1)) |
Inverse cosine (Acos(x)) |
Atan(-x / Sqrt(-x * x + 1)) + 2 * Atan(1) |
Inverse secant (Asec(x)) |
2 * Atan(1) – Atan(Sign(x) / Sqrt(x * x – 1)) |
Inverse cosecant (Acsc(x)) |
Atan(Sign(x) / Sqrt(x * x – 1)) |
Inverse cotangent (Acot(x)) |
2 * Atan(1) - Atan(x) |
Hyperbolic sine (Sinh(x)) |
(Exp(x) – Exp(-x)) / 2 |
Hyperbolic cosine (Cosh(x)) |
(Exp(x) + Exp(-x)) / 2 |
Hyperbolic tangent (Tanh(x)) |
(Exp(x) – Exp(-x)) / (Exp(x) + Exp(-x)) |
Hyperbolic secant (Sech(x)) |
2 / (Exp(x) + Exp(-x)) |
Hyperbolic cosecant (Csch(x)) |
2 / (Exp(x) – Exp(-x)) |
Hyperbolic cotangent (Coth(x)) |
(Exp(x) + Exp(-x)) / (Exp(x) – Exp(-x)) |
Inverse hyperbolic sine (Asinh(x)) |
Log(x + Sqrt(x * x + 1)) |
Inverse hyperbolic cosine (Acosh(x)) |
Log(x + Sqrt(x * x – 1)) |
Inverse hyperbolic tangent (Atanh(x)) |
Log((1 + x) / (1 – x)) / 2 |
Inverse hyperbolic secant (AsecH(x)) |
Log((Sqrt(-x * x + 1) + 1) / x) |
Inverse hyperbolic cosecant (Acsch(x)) |
Log((Sign(x) * Sqrt(x * x + 1) + 1) / x) |
Inverse hyperbolic cotangent (Acoth(x)) |
Log((x + 1) / (x – 1)) / 2 |
Requirements
Namespace:Math
Assembly: mscorlib (in mscorlib.dll)