# Derived Math Functions (Visual Basic)

Visual Studio 2015

Updated: July 20, 2015

For the latest documentation on Visual Studio 2017 RC, see Visual Studio 2017 RC Documentation.

The following table shows non-intrinsic math functions that can be derived from the intrinsic math functions of the System.Math object. You can access the intrinsic math functions by adding `Imports System.Math` to your file or project.

FunctionDerived 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

Math Functions

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