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Math::Tanh Method
Visual Studio 2010
Returns the hyperbolic tangent of the specified angle.
Assembly: mscorlib (in mscorlib.dll)
Parameters
- value
- Type: System::Double
An angle, measured in radians.
Return Value
Type: System::DoubleThe hyperbolic tangent of value. If value is equal to NegativeInfinity, this method returns -1. If value is equal to PositiveInfinity, this method returns 1. If value is equal to NaN, this method returns NaN.
The angle, value, must be in radians. Multiply by Math::PI/180 to convert degrees to radians.
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 */
Windows 7, Windows Vista SP1 or later, Windows XP SP3, Windows XP SP2 x64 Edition, Windows Server 2008 (Server Core not supported), Windows Server 2008 R2 (Server Core supported with SP1 or later), Windows Server 2003 SP2
The .NET Framework does not support all versions of every platform. For a list of the supported versions, see .NET Framework System Requirements.
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