# Math.Tanh(Double) Metoda

## Definicja

Zwraca tangens hiperboliczny odpowiadający podanemu kątowi.Returns the hyperbolic tangent of the specified angle.

``````public:
static double Tanh(double value);``````
``public static double Tanh (double value);``
``static member Tanh : double -> double``
``Public Shared Function Tanh (value As Double) As Double``

value
Double

#### Zwraca

Tangens hiperboliczny `value`.The hyperbolic tangent of `value`. Jeśli `value` jest równa NegativeInfinity, ta metoda zwróci wartość-1.If `value` is equal to NegativeInfinity, this method returns -1. Jeśli wartość jest równa PositiveInfinity, metoda zwraca 1.If value is equal to PositiveInfinity, this method returns 1. Jeśli `value` jest równa NaN, Metoda ta zwraca NaN.If `value` is equal to NaN, this method returns NaN.

Poniższy przykład używa Tanh do szacowania niektórych tożsamości hiperbolicznych tangens dla wybranych wartości.The following example uses Tanh to evaluate certain hyperbolic tangent identities for selected values.

``````// Example for the hyperbolic Math::Tanh( double ) method.
using namespace System;

// Evaluate hyperbolic identities with a given argument.
void UseTanh( double arg )
{
double tanhArg = Math::Tanh( arg );

// Evaluate tanh(X) == sinh(X) / cosh(X).
Console::WriteLine( "\n                        Math::Tanh({0}) == {1:E16}\n"
"      Math::Sinh({0}) / Math::Cosh({0}) == {2:E16}", arg, tanhArg, (Math::Sinh( arg ) / Math::Cosh( arg )) );

// Evaluate tanh(2 * X) == 2 * tanh(X) / (1 + tanh^2(X)).
Console::WriteLine( "                    2 * Math::Tanh({0}) /", arg, 2.0 * tanhArg );
Console::WriteLine( "              (1 + (Math::Tanh({0}))^2) == {1:E16}", arg, 2.0 * tanhArg / (1.0 + tanhArg * tanhArg) );
Console::WriteLine( "                        Math::Tanh({0}) == {1:E16}", 2.0 * arg, Math::Tanh( 2.0 * arg ) );
}

// Evaluate a hyperbolic identity that is a function of two arguments.
void UseTwoArgs( double argX, double argY )
{

// Evaluate tanh(X + Y) == (tanh(X) + tanh(Y)) / (1 + tanh(X) * tanh(Y)).
Console::WriteLine( "\n    (Math::Tanh({0}) + Math::Tanh({1})) /\n"
"(1 + Math::Tanh({0}) * Math::Tanh({1})) == {2:E16}", argX, argY, (Math::Tanh( argX ) + Math::Tanh( argY )) / (1.0 + Math::Tanh( argX ) * Math::Tanh( argY )) );
Console::WriteLine( "                        Math::Tanh({0}) == {1:E16}", argX + argY, Math::Tanh( argX + argY ) );
}

int main()
{
Console::WriteLine( "This example of hyperbolic Math::Tanh( double )\n"
"generates the following output." );
Console::WriteLine( "\nEvaluate these hyperbolic identities "
"with selected values for X:" );
Console::WriteLine( "   tanh(X) == sinh(X) / cosh(X)" );
Console::WriteLine( "   tanh(2 * X) == 2 * tanh(X) / (1 + tanh^2(X))" );
UseTanh( 0.1 );
UseTanh( 1.2 );
UseTanh( 4.9 );
Console::WriteLine( "\nEvaluate [tanh(X + Y) == "
"(tanh(X) + tanh(Y)) / (1 + tanh(X) * tanh(Y))]"
"\nwith selected values for X and Y:" );
UseTwoArgs( 0.1, 1.2 );
UseTwoArgs( 1.2, 4.9 );
}

/*
This example of hyperbolic Math::Tanh( double )
generates the following output.

Evaluate these hyperbolic identities with selected values for X:
tanh(X) == sinh(X) / cosh(X)
tanh(2 * X) == 2 * tanh(X) / (1 + tanh^2(X))

Math::Tanh(0.1) == 9.9667994624955819E-002
Math::Sinh(0.1) / Math::Cosh(0.1) == 9.9667994624955819E-002
2 * Math::Tanh(0.1) /
(1 + (Math::Tanh(0.1))^2) == 1.9737532022490401E-001
Math::Tanh(0.2) == 1.9737532022490401E-001

Math::Tanh(1.2) == 8.3365460701215521E-001
Math::Sinh(1.2) / Math::Cosh(1.2) == 8.3365460701215521E-001
2 * Math::Tanh(1.2) /
(1 + (Math::Tanh(1.2))^2) == 9.8367485769368024E-001
Math::Tanh(2.4) == 9.8367485769368024E-001

Math::Tanh(4.9) == 9.9988910295055444E-001
Math::Sinh(4.9) / Math::Cosh(4.9) == 9.9988910295055433E-001
2 * Math::Tanh(4.9) /
(1 + (Math::Tanh(4.9))^2) == 9.9999999385024030E-001
Math::Tanh(9.8) == 9.9999999385024030E-001

Evaluate [tanh(X + Y) == (tanh(X) + tanh(Y)) / (1 + tanh(X) * tanh(Y))]
with selected values for X and Y:

(Math::Tanh(0.1) + Math::Tanh(1.2)) /
(1 + Math::Tanh(0.1) * Math::Tanh(1.2)) == 8.6172315931330645E-001
Math::Tanh(1.3) == 8.6172315931330634E-001

(Math::Tanh(1.2) + Math::Tanh(4.9)) /
(1 + Math::Tanh(1.2) * Math::Tanh(4.9)) == 9.9998993913939649E-001
Math::Tanh(6.1) == 9.9998993913939649E-001
*/
``````
``````// Example for the hyperbolic Math.Tanh( double ) method.
using System;

class DemoTanh
{
public static void Main()
{
Console.WriteLine(
"This example of hyperbolic Math.Tanh( double )\n" +
"generates the following output." );
Console.WriteLine(
"\nEvaluate these hyperbolic identities " +
"with selected values for X:" );
Console.WriteLine( "   tanh(X) == sinh(X) / cosh(X)" );
Console.WriteLine(
"   tanh(2 * X) == 2 * tanh(X) / (1 + tanh^2(X))" );

UseTanh(0.1);
UseTanh(1.2);
UseTanh(4.9);

Console.WriteLine(
"\nEvaluate [tanh(X + Y) == (tanh(X) + tanh(Y)) " +
"/ (1 + tanh(X) * tanh(Y))]" +
"\nwith selected values for X and Y:" );

UseTwoArgs(0.1, 1.2);
UseTwoArgs(1.2, 4.9);
}

// Evaluate hyperbolic identities with a given argument.
static void UseTanh(double arg)
{
double tanhArg = Math.Tanh(arg);

// Evaluate tanh(X) == sinh(X) / cosh(X).
Console.WriteLine(
"\n                       Math.Tanh({0}) == {1:E16}\n" +
"      Math.Sinh({0}) / Math.Cosh({0}) == {2:E16}",
arg, tanhArg, (Math.Sinh(arg) / Math.Cosh(arg)) );

// Evaluate tanh(2 * X) == 2 * tanh(X) / (1 + tanh^2(X)).
Console.WriteLine(
"                   2 * Math.Tanh({0}) /",
arg, 2.0 * tanhArg );
Console.WriteLine(
"             (1 + (Math.Tanh({0}))^2) == {1:E16}",
arg, 2.0 * tanhArg / (1.0 + tanhArg * tanhArg ) );
Console.WriteLine(
"                       Math.Tanh({0}) == {1:E16}",
2.0 * arg, Math.Tanh(2.0 * arg) );
}

// Evaluate a hyperbolic identity that is a function of two arguments.
static void UseTwoArgs(double argX, double argY)
{
// Evaluate tanh(X + Y) == (tanh(X) + tanh(Y)) / (1 + tanh(X) * tanh(Y)).
Console.WriteLine(
"\n    (Math.Tanh({0}) + Math.Tanh({1})) /\n" +
"(1 + Math.Tanh({0}) * Math.Tanh({1})) == {2:E16}",
argX, argY, (Math.Tanh(argX) + Math.Tanh(argY)) /
(1.0 + Math.Tanh(argX) * Math.Tanh(argY)) );
Console.WriteLine(
"                       Math.Tanh({0}) == {1:E16}",
argX + argY, Math.Tanh(argX + argY));
}
}

/*
This example of hyperbolic Math.Tanh( double )
generates the following output.

Evaluate these hyperbolic identities with selected values for X:
tanh(X) == sinh(X) / cosh(X)
tanh(2 * X) == 2 * tanh(X) / (1 + tanh^2(X))

Math.Tanh(0.1) == 9.9667994624955819E-002
Math.Sinh(0.1) / Math.Cosh(0.1) == 9.9667994624955819E-002
2 * Math.Tanh(0.1) /
(1 + (Math.Tanh(0.1))^2) == 1.9737532022490401E-001
Math.Tanh(0.2) == 1.9737532022490401E-001

Math.Tanh(1.2) == 8.3365460701215521E-001
Math.Sinh(1.2) / Math.Cosh(1.2) == 8.3365460701215521E-001
2 * Math.Tanh(1.2) /
(1 + (Math.Tanh(1.2))^2) == 9.8367485769368024E-001
Math.Tanh(2.4) == 9.8367485769368024E-001

Math.Tanh(4.9) == 9.9988910295055444E-001
Math.Sinh(4.9) / Math.Cosh(4.9) == 9.9988910295055433E-001
2 * Math.Tanh(4.9) /
(1 + (Math.Tanh(4.9))^2) == 9.9999999385024030E-001
Math.Tanh(9.8) == 9.9999999385024030E-001

Evaluate [tanh(X + Y) == (tanh(X) + tanh(Y)) / (1 + tanh(X) * tanh(Y))]
with selected values for X and Y:

(Math.Tanh(0.1) + Math.Tanh(1.2)) /
(1 + Math.Tanh(0.1) * Math.Tanh(1.2)) == 8.6172315931330645E-001
Math.Tanh(1.3) == 8.6172315931330634E-001

(Math.Tanh(1.2) + Math.Tanh(4.9)) /
(1 + Math.Tanh(1.2) * Math.Tanh(4.9)) == 9.9998993913939649E-001
Math.Tanh(6.1) == 9.9998993913939649E-001
*/
``````
``````' Example for the hyperbolic Math.Tanh( Double ) method.
Module DemoTanh

Sub Main()
Console.WriteLine( _
"This example of hyperbolic Math.Tanh( Double )" & _
vbCrLf & "generates the following output.")
Console.WriteLine( _
vbCrLf & "Evaluate these hyperbolic " & _
"identities with selected values for X:")
Console.WriteLine("   tanh(X) = sinh(X) / cosh(X)")
Console.WriteLine("   tanh(2 * X) = 2 * tanh(X) / (1 + tanh^2(X))")

UseTanh(0.1)
UseTanh(1.2)
UseTanh(4.9)

Console.WriteLine( _
vbCrLf & "Evaluate [tanh(X + Y) == (tanh(X) + " & _
"tanh(Y)) / (1 + tanh(X) * tanh(Y))]" & _
vbCrLf & "with selected values for X and Y:")

UseTwoArgs(0.1, 1.2)
UseTwoArgs(1.2, 4.9)
End Sub

' Evaluate hyperbolic identities with a given argument.
Sub UseTanh(arg As Double)
Dim tanhArg As Double = Math.Tanh(arg)

' Evaluate tanh(X) = sinh(X) / cosh(X).
Console.WriteLine( _
vbCrLf & "                       Math.Tanh({0}) = {1:E16}" & _
vbCrLf & "      Math.Sinh({0}) / Math.Cosh({0}) = {2:E16}", _
arg, tanhArg, Math.Sinh(arg) / Math.Cosh(arg))

' Evaluate tanh(2 * X) = 2 * tanh(X) / (1 + tanh^2(X)).
Console.WriteLine( _
"                   2 * Math.Tanh({0}) /", _
arg, 2.0 * tanhArg)
Console.WriteLine( _
"             (1 + (Math.Tanh({0}))^2) = {1:E16}", _
arg, 2.0 * tanhArg /(1.0 + tanhArg * tanhArg))
Console.WriteLine( _
"                       Math.Tanh({0}) = {1:E16}", _
2.0 * arg, Math.Tanh((2.0 * arg)))
End Sub

' Evaluate a hyperbolic identity that is a function of two arguments.
Sub UseTwoArgs(argX As Double, argY As Double)

' Evaluate tanh(X + Y) = (tanh(X) + tanh(Y)) / (1 + tanh(X) * tanh(Y)).
Console.WriteLine( _
vbCrLf & "    (Math.Tanh({0}) + Math.Tanh({1})) /" & _
vbCrLf & "(1 + Math.Tanh({0}) * Math.Tanh({1})) = {2:E16}", _
argX, argY, (Math.Tanh(argX) + Math.Tanh(argY)) / _
(1.0 + Math.Tanh(argX) * Math.Tanh(argY)))
Console.WriteLine( _
"                       Math.Tanh({0}) = {1:E16}", _
argX + argY, Math.Tanh(argX + argY))

End Sub
End Module 'DemoTanh

' This example of hyperbolic Math.Tanh( Double )
' generates the following output.
'
' Evaluate these hyperbolic identities with selected values for X:
'    tanh(X) = sinh(X) / cosh(X)
'    tanh(2 * X) = 2 * tanh(X) / (1 + tanh^2(X))
'
'                        Math.Tanh(0.1) = 9.9667994624955819E-002
'       Math.Sinh(0.1) / Math.Cosh(0.1) = 9.9667994624955819E-002
'                    2 * Math.Tanh(0.1) /
'              (1 + (Math.Tanh(0.1))^2) = 1.9737532022490401E-001
'                        Math.Tanh(0.2) = 1.9737532022490401E-001
'
'                        Math.Tanh(1.2) = 8.3365460701215521E-001
'       Math.Sinh(1.2) / Math.Cosh(1.2) = 8.3365460701215521E-001
'                    2 * Math.Tanh(1.2) /
'              (1 + (Math.Tanh(1.2))^2) = 9.8367485769368024E-001
'                        Math.Tanh(2.4) = 9.8367485769368024E-001
'
'                        Math.Tanh(4.9) = 9.9988910295055444E-001
'       Math.Sinh(4.9) / Math.Cosh(4.9) = 9.9988910295055433E-001
'                    2 * Math.Tanh(4.9) /
'              (1 + (Math.Tanh(4.9))^2) = 9.9999999385024030E-001
'                        Math.Tanh(9.8) = 9.9999999385024030E-001
'
' Evaluate [tanh(X + Y) == (tanh(X) + tanh(Y)) / (1 + tanh(X) * tanh(Y))]
' with selected values for X and Y:
'
'     (Math.Tanh(0.1) + Math.Tanh(1.2)) /
' (1 + Math.Tanh(0.1) * Math.Tanh(1.2)) = 8.6172315931330645E-001
'                        Math.Tanh(1.3) = 8.6172315931330634E-001
'
'     (Math.Tanh(1.2) + Math.Tanh(4.9)) /
' (1 + Math.Tanh(1.2) * Math.Tanh(4.9)) = 9.9998993913939649E-001
'                        Math.Tanh(6.1) = 9.9998993913939649E-001
``````

## Uwagi

Kąt, `value`, musi być w radianach.The angle, `value`, must be in radians. Pomnóż przez Math.PI/180, aby przekonwertować stopnie na radiany.Multiply by Math.PI/180 to convert degrees to radians.