MathTrigonometric 1.1.0
dotnet add package MathTrigonometric version 1.1.0
NuGet\InstallPackage MathTrigonometric Version 1.1.0
<PackageReference Include="MathTrigonometric" Version="1.1.0" />
paket add MathTrigonometric version 1.1.0
#r "nuget: MathTrigonometric, 1.1.0"
// Install MathTrigonometric as a Cake Addin #addin nuget:?package=MathTrigonometric&version=1.1.0 // Install MathTrigonometric as a Cake Tool #tool nuget:?package=MathTrigonometric&version=1.1.0
Math Trigonometric Functions in .NET
Overview
This C# library provides implementations of all standard trigonometric functions, including basic functions like sine, cosine, and tangent, as well as their hyperbolic counterparts, inverse functions, and more. This library is designed to offer a comprehensive set of tools for mathematical, engineering, and scientific applications requiring trigonometric calculations.
Missing Trigonometric Functions in .NET
The .NET includes basic trigonometric functions (sin, cos, tan, asin, acos, atan) and their hyperbolic counterparts (sinh, cosh, tanh, asinh, acosh, atanh) in the Math class. However, the following trigonometric functions are missing in .NET and are implemented in this library:
 Cot (Cotangent)
 Sec (Secant)
 Csc (Cosecant)
 Acot (Inverse Cotangent)
 Asec (Inverse Secant)
 Acsc (Inverse Cosecant)
 Coth (Hyperbolic Cotangent)
 Sech (Hyperbolic Secant)
 Csch (Hyperbolic Cosecant)
 Acoth (Inverse Hyperbolic Cotangent)
 Asech (Inverse Hyperbolic Secant)
 Acsch (Inverse Hyperbolic Cosecant)
You can find a detailed explanation of the implementation and approach in my article on Medium.
Installation
You can install this library via NuGet Package Manager. To do this, follow these steps:
Open your project in Visual Studio.
Go to Tools > NuGet Package Manager > Manage NuGet Packages for Solution.
Search for MathTrigonometric.
Select the package and click Install. Alternatively, you can install the package using the NuGet Package Manager Console:
InstallPackage MathTrigonometric
Functions Included
In version 1.1.0, support for complex numbers has been introduced through overloaded methods for the trigonometric functions listed below. This allows the library to handle both real and complex inputs seamlessly.
Basic Trigonometric Functions
Sin
Sine of the angle is ratio of the opposite leg to hypotenuse.
double Sin(double a);
 Input: Angle in radians (any real number).
 Output: The sine of the input angle in range: [1, 1].
Cos
Cosine of the angle is ratio of the adjacent leg to hypotenuse.
double Cos(double a);
 Input: Angle in radians (any real number).
 Output: The cosine of the input angle in range: [1, 1].
Tan
Tangent of the angle is ratio of the opposite leg to adjacent one.
double Tan(double a);
 Input: Angle in radians (any real number).
 Output: The tangent of the input angle (any real number).
Cot
Cotangent of the angle is ratio of the adjacent leg to opposite one.
double Cot(double a);
 Input: Angle in radians (any real number).
 Output: The cotangent of the input angle (any real number).
Sec
Secant of the angle is ratio of the hypotenuse to adjacent leg.
double Sec(double a);
 Input: Angle in radians (any real number).
 Output: The secant of the input angle in range: (∞, 1] ∪ [1, ∞).
Csc
Cosecant of the angle is ratio of the hypotenuse to opposite leg.
double Csc(double a);
 Input: Angle in radians (any real number).
 Output: The cosecant of the input angle in range: (∞, 1] ∪ [1, ∞).
Inverse Trigonometric Functions
Asin
Arc sine is inverse of the Sine function.
double Asin(double d);
 Input: Value in range: [1, 1].
 Output: Angle in radians is limited to the range [−π/2, π/2].
Acos
Arc cosine is inverse of the Cosine function.
double Acos(double d);
 Input: Value in range: [1, 1].
 Output: Angle in radians is limited to the range [0, π].
Atan
Arc tangent is inverse of the Tangent function.
double Atan(double d);
 Input: Any real number.
 Output: Angle in radians is limited to the range (−π/2, π/2).
Acot
Arc cotangent is inverse of the Cotangent function.
double Acot(double d);
 Input: Any real number.
 Output: Angle in radians is limited to the range (0, π).
Asec
Arc secant is inverse of the Secant function.
double Asec(double d);
 Input: Value in range: (∞, 1] ∪ [1, ∞).
 Output: Angle in radians is limited to the range [0, π/2)∪(π/2, π].
Acsc
Arc cosecant is inverse of the Cosecant function.
double Acsc(double d);
 Input: Value in range: (∞, 1] ∪ [1, ∞).
 Output: Angle in radians is limited to the range [−π/2, 0)∪(0, π/2].
Hyperbolic Trigonometric Functions
Sinh
Hyperbolic sine is defined as Sinh(x) = (e^x − e^−x)/2.
double Sinh(double x);
 Input: Any real number.
 Output: Value (any real number).
Cosh
Hyperbolic cosine is defined as Cosh(x) = (e^x + e^−x)/2.
double Cosh(double x);
 Input: Any real number.
 Output: Value in range: [1, +∞).
Tanh
Hyperbolic tangent is defined as Tanh(x) = (e^x − e^−x)/(e^x + e^−x).
double Tanh(double x);
 Input: Any real number.
 Output: Value in range: (1, 1).
Coth
Hyperbolic cotangent is defined as Coth(x) = (e^x + e^−x)/(e^x − e^−x).
double Coth(double x);
 Input: Value in range: (−∞, 0)∪(0, +∞).
 Output: Value in range: (−∞, 1)∪(1, +∞).
Sech
Hyperbolic secant is defined as Sech(x) = 2/(e^x + e^−x).
double Sech(double x);
 Input: Any real number.
 Output: Value in range: (0, 1].
Csch
Hyperbolic cosecant is defined as Csch(x) = 2/(e^x − e^−x).
double Csch(double x);
 Input: Value in range: (−∞, 0)∪(0, +∞).
 Output: Value in range: (−∞, 0)∪(0, +∞).
Inverse Hyperbolic Trigonometric Functions
Asinh
Archyperbolic sine is inverse of the Hyperbolic sine function is defined as Arsinh(x) = ln[x + √(x^2 + 1)].
double Asinh(double x);
 Input: Any real number.
 Output: Value (any real number).
Acosh
Archyperbolic cosine is inverse of the Hyperbolic cosine function is defined as Arcosh(x) = ln[x + √(x^2  1)].
double Acosh(double x);
 Input: Value in range: [1, +∞).
 Output: Value in range: [0, +∞).
Atanh
Archyperbolic tangent is inverse of the Hyperbolic tangent function is defined as Artanh(x) = ln[(1 + x)/(1 − x)]/2.
double Atanh(double x);
 Input: Value in range: (1, 1).
 Output: Value (any real number).
Acoth
Archyperbolic cotangent is inverse of the Hyperbolic cotangent function is defined as Arcoth(x) = ln[(1 + x)/(x − 1)]/2.
double Acoth(double x);
 Input: Value in range: (−∞, 1)∪(1, +∞).
 Output: Value in range: (−∞, 0)∪(0, +∞).
Asech
Archyperbolic secant is inverse of the Hyperbolic secant function is defined as Arsech(x) = ln([1 + √(1 − x^2)]/x).
double Asech(double x);
 Input: Value in range: (0, 1].
 Output: Value in range: [0, +∞).
Acsch
Archyperbolic cosecant is inverse of the Hyperbolic cosecant function is defined as Arcsch(x) = ln[1/x + √(1/(x^2) + 1)].
double Acsch(double x);
 Input: Value in range: (−∞, 0)∪(0, +∞).
 Output: Value in range: (−∞, 0)∪(0, +∞).
Extra functions
DegreesToRadians
Converts degrees to radians.
double DegreesToRadians(double degrees);
 Input: Angle in degrees (any real number).
 Output: Angle in radians (any real number).
RadiansToDegrees
Converts radians to degrees.
double RadiansToDegrees(double radians);
 Input: Angle in radians (any real number).
 Output: Angle in degrees (any real number).
How to use trigonometry in C#
Here are some examples of how to use the trigonometric functions in this library:
Basic Trigonometric Functions
using MathTrigonometric;
class Program
{
static void Main()
{
double angle = Math.PI / 4; // 45 degrees in radians
double sine = MathTrig.Sin(angle);
double cosine = MathTrig.Cos(angle);
double tangent = MathTrig.Tan(angle);
double cotangent = MathTrig.Cot(angle);
double secant = MathTrig.Sec(angle);
double cosecant = MathTrig.Csc(angle);
Console.WriteLine($"Sin({angle}) = {sine}");
Console.WriteLine($"Cos({angle}) = {cosine}");
Console.WriteLine($"Tan({angle}) = {tangent}");
Console.WriteLine($"Cot({angle}) = {cotangent}");
Console.WriteLine($"Sec({angle}) = {secant}");
Console.WriteLine($"Csc({angle}) = {cosecant}");
}
}
Inverse Trigonometric Functions
using MathTrigonometric;
class Program
{
static void Main()
{
double value = 0.5;
double angleAsin = MathTrig.Asin(value);
double angleAcos = MathTrig.Acos(value);
double angleAtan = MathTrig.Atan(value);
double angleAcot = MathTrig.Acot(value);
double angleAsec = MathTrig.Asec(2); // sec(π/3) = 2
double angleAcsc = MathTrig.Acsc(2); // csc(π/6) = 2
Console.WriteLine($"Asin({value}) = {angleAsin}");
Console.WriteLine($"Acos({value}) = {angleAcos}");
Console.WriteLine($"Atan({value}) = {angleAtan}");
Console.WriteLine($"Acot({value}) = {angleAcot}");
Console.WriteLine($"Asec(2) = {angleAsec}");
Console.WriteLine($"Acsc(2) = {angleAcsc}");
}
}
Hyperbolic Trigonometric Functions
using MathTrigonometric;
class Program
{
static void Main()
{
double value = 1.0;
double sinh = MathTrig.Sinh(value);
double cosh = MathTrig.Cosh(value);
double tanh = MathTrig.Tanh(value);
double coth = MathTrig.Coth(value);
double sech = MathTrig.Sech(value);
double csch = MathTrig.Csch(value);
Console.WriteLine($"Sinh({value}) = {sinh}");
Console.WriteLine($"Cosh({value}) = {cosh}");
Console.WriteLine($"Tanh({value}) = {tanh}");
Console.WriteLine($"Coth({value}) = {coth}");
Console.WriteLine($"Sech({value}) = {sech}");
Console.WriteLine($"Csch({value}) = {csch}");
}
}
Inverse Hyperbolic Trigonometric Functions
using MathTrigonometric;
class Program
{
static void Main()
{
double value = 0.5;
double asinh = MathTrig.Asinh(value);
double acosh = MathTrig.Acosh(1.5);
double atanh = MathTrig.Atanh(value);
double acoth = MathTrig.Acoth(2);
double asech = MathTrig.Asech(value);
double acsch = MathTrig.Acsch(2);
Console.WriteLine($"Asinh({value}) = {asinh}");
Console.WriteLine($"Acosh(1.5) = {acosh}");
Console.WriteLine($"Atanh({value}) = {atanh}");
Console.WriteLine($"Acoth(2) = {acoth}");
Console.WriteLine($"Asech({value}) = {asech}");
Console.WriteLine($"Acsch(2) = {acsch}");
}
}
Contributing
Contributions are welcome! Please fork the repository and submit pull requests for any enhancements or bug fixes. If you enjoy my work and find it valuable, please consider becoming my sponsor on GitHub. Your support will enable me to share more opensource code. Together, we can make a positive impact in the developer community!
License
This project is licensed under the MIT License  see the LICENSE file for details.
Contact
If you have any questions or suggestions, feel free to open an issue or contact me directly.
Product  Versions Compatible and additional computed target framework versions. 

.NET  net5.0 was computed. net5.0windows was computed. net6.0 was computed. net6.0android was computed. net6.0ios was computed. net6.0maccatalyst was computed. net6.0macos was computed. net6.0tvos was computed. net6.0windows was computed. net7.0 was computed. net7.0android was computed. net7.0ios was computed. net7.0maccatalyst was computed. net7.0macos was computed. net7.0tvos was computed. net7.0windows was computed. net8.0 was computed. net8.0android was computed. net8.0browser was computed. net8.0ios was computed. net8.0maccatalyst was computed. net8.0macos was computed. net8.0tvos was computed. net8.0windows was computed. 
.NET Core  netcoreapp2.0 was computed. netcoreapp2.1 was computed. netcoreapp2.2 was computed. netcoreapp3.0 was computed. netcoreapp3.1 was computed. 
.NET Standard  netstandard2.0 is compatible. netstandard2.1 was computed. 
.NET Framework  net461 was computed. net462 was computed. net463 was computed. net47 was computed. net471 was computed. net472 was computed. net48 was computed. net481 was computed. 
MonoAndroid  monoandroid was computed. 
MonoMac  monomac was computed. 
MonoTouch  monotouch was computed. 
Tizen  tizen40 was computed. tizen60 was computed. 
Xamarin.iOS  xamarinios was computed. 
Xamarin.Mac  xamarinmac was computed. 
Xamarin.TVOS  xamarintvos was computed. 
Xamarin.WatchOS  xamarinwatchos was computed. 

.NETStandard 2.0
 No dependencies.
NuGet packages (1)
Showing the top 1 NuGet packages that depend on MathTrigonometric:
Package  Downloads 

MathEvaluator
The MathEvaluator .NET library allows you to evaluate and compile any mathematical expressions from a string dynamically. It supports a wide range of operations and allows for the use of custom variables, operators, and functions. The evaluator can be configured for different contexts, such as scientific or programming math expressions, making it highly versatile for various use cases. This flexibility, combined with its high performance, makes it an excellent choice for developers needing a robust mathematical evaluation tool. 
GitHub repositories
This package is not used by any popular GitHub repositories.
It targets .NET Standard 2.0 and higher version. Supports double and complex numbers.