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Learn more about: Derived Math Functions (Visual Basic) |
Derived Math Functions |
07/20/2015 |
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63e449d8-9444-44fb-8db1-6d9cf346e2aa |
The following table shows non-intrinsic math functions that can be derived from the intrinsic math functions of the xref:System.Math?displayProperty=nameWithType object. You can access the intrinsic math functions by adding Imports System.Math to your file or project.
| 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 |