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Math::Sinh Method
Visual Studio 2010
Returns the hyperbolic sine 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 sine of value. If value is equal to NegativeInfinity, PositiveInfinity, or NaN, this method returns a Double equal to value.
The angle, value, must be in radians. Multiply by Math::PI/180 to convert degrees to radians.
The following example uses Sinh to evaluate certain hyperbolic identities for selected values.
// Example for the hyperbolic Math.Sinh( double ) // and Math.Cosh( double ) methods. using namespace System; // Evaluate hyperbolic identities with a given argument. void UseSinhCosh( double arg ) { double sinhArg = Math::Sinh( arg ); double coshArg = Math::Cosh( arg ); // Evaluate cosh^2(X) - sinh^2(X) == 1. Console::WriteLine( "\n Math::Sinh({0}) == {1:E16}\n" " Math::Cosh({0}) == {2:E16}", arg, Math::Sinh( arg ), Math::Cosh( arg ) ); Console::WriteLine( "(Math::Cosh({0}))^2 - (Math::Sinh({0}))^2 == {1:E16}", arg, coshArg * coshArg - sinhArg * sinhArg ); // Evaluate sinh(2 * X) == 2 * sinh(X) * cosh(X). Console::WriteLine( " Math::Sinh({0}) == {1:E16}", 2.0 * arg, Math::Sinh( 2.0 * arg ) ); Console::WriteLine( " 2 * Math::Sinh({0}) * Math::Cosh({0}) == {1:E16}", arg, 2.0 * sinhArg * coshArg ); // Evaluate cosh(2 * X) == cosh^2(X) + sinh^2(X). Console::WriteLine( " Math::Cosh({0}) == {1:E16}", 2.0 * arg, Math::Cosh( 2.0 * arg ) ); Console::WriteLine( "(Math::Cosh({0}))^2 + (Math::Sinh({0}))^2 == {1:E16}", arg, coshArg * coshArg + sinhArg * sinhArg ); } // Evaluate hyperbolic identities that are functions of two arguments. void UseTwoArgs( double argX, double argY ) { // Evaluate sinh(X + Y) == sinh(X) * cosh(Y) + cosh(X) * sinh(Y). Console::WriteLine( "\n Math::Sinh({0}) * Math::Cosh({1}) +\n" " Math::Cosh({0}) * Math::Sinh({1}) == {2:E16}", argX, argY, Math::Sinh( argX ) * Math::Cosh( argY ) + Math::Cosh( argX ) * Math::Sinh( argY ) ); Console::WriteLine( " Math::Sinh({0}) == {1:E16}", argX + argY, Math::Sinh( argX + argY ) ); // Evaluate cosh(X + Y) == cosh(X) * cosh(Y) + sinh(X) * sinh(Y). Console::WriteLine( " Math::Cosh({0}) * Math::Cosh({1}) +\n" " Math::Sinh({0}) * Math::Sinh({1}) == {2:E16}", argX, argY, Math::Cosh( argX ) * Math::Cosh( argY ) + Math::Sinh( argX ) * Math::Sinh( argY ) ); Console::WriteLine( " Math::Cosh({0}) == {1:E16}", argX + argY, Math::Cosh( argX + argY ) ); } int main() { Console::WriteLine( "This example of hyperbolic " "Math::Sinh( double ) and Math::Cosh( double )\n" "generates the following output.\n" ); Console::WriteLine( "Evaluate these hyperbolic identities " "with selected values for X:" ); Console::WriteLine( " cosh^2(X) - sinh^2(X) == 1\n" " sinh(2 * X) == 2 * sinh(X) * cosh(X)" ); Console::WriteLine( " cosh(2 * X) == cosh^2(X) + sinh^2(X)" ); UseSinhCosh( 0.1 ); UseSinhCosh( 1.2 ); UseSinhCosh( 4.9 ); Console::WriteLine( "\nEvaluate these hyperbolic identities " "with selected values for X and Y:" ); Console::WriteLine( " sinh(X + Y) == sinh(X) * cosh(Y) + cosh(X) * sinh(Y)" ); Console::WriteLine( " cosh(X + Y) == cosh(X) * cosh(Y) + sinh(X) * sinh(Y)" ); UseTwoArgs( 0.1, 1.2 ); UseTwoArgs( 1.2, 4.9 ); } /* This example of hyperbolic Math::Sinh( double ) and Math::Cosh( double ) generates the following output. Evaluate these hyperbolic identities with selected values for X: cosh^2(X) - sinh^2(X) == 1 sinh(2 * X) == 2 * sinh(X) * cosh(X) cosh(2 * X) == cosh^2(X) + sinh^2(X) Math::Sinh(0.1) == 1.0016675001984403E-001 Math::Cosh(0.1) == 1.0050041680558035E+000 (Math::Cosh(0.1))^2 - (Math::Sinh(0.1))^2 == 9.9999999999999989E-001 Math::Sinh(0.2) == 2.0133600254109399E-001 2 * Math::Sinh(0.1) * Math::Cosh(0.1) == 2.0133600254109396E-001 Math::Cosh(0.2) == 1.0200667556190759E+000 (Math::Cosh(0.1))^2 + (Math::Sinh(0.1))^2 == 1.0200667556190757E+000 Math::Sinh(1.2) == 1.5094613554121725E+000 Math::Cosh(1.2) == 1.8106555673243747E+000 (Math::Cosh(1.2))^2 - (Math::Sinh(1.2))^2 == 1.0000000000000000E+000 Math::Sinh(2.4) == 5.4662292136760939E+000 2 * Math::Sinh(1.2) * Math::Cosh(1.2) == 5.4662292136760939E+000 Math::Cosh(2.4) == 5.5569471669655064E+000 (Math::Cosh(1.2))^2 + (Math::Sinh(1.2))^2 == 5.5569471669655064E+000 Math::Sinh(4.9) == 6.7141166550932297E+001 Math::Cosh(4.9) == 6.7148613134003227E+001 (Math::Cosh(4.9))^2 - (Math::Sinh(4.9))^2 == 1.0000000000000000E+000 Math::Sinh(9.8) == 9.0168724361884615E+003 2 * Math::Sinh(4.9) * Math::Cosh(4.9) == 9.0168724361884615E+003 Math::Cosh(9.8) == 9.0168724916400624E+003 (Math::Cosh(4.9))^2 + (Math::Sinh(4.9))^2 == 9.0168724916400606E+003 Evaluate these hyperbolic identities with selected values for X and Y: sinh(X + Y) == sinh(X) * cosh(Y) + cosh(X) * sinh(Y) cosh(X + Y) == cosh(X) * cosh(Y) + sinh(X) * sinh(Y) Math::Sinh(0.1) * Math::Cosh(1.2) + Math::Cosh(0.1) * Math::Sinh(1.2) == 1.6983824372926155E+000 Math::Sinh(1.3) == 1.6983824372926160E+000 Math::Cosh(0.1) * Math::Cosh(1.2) + Math::Sinh(0.1) * Math::Sinh(1.2) == 1.9709142303266281E+000 Math::Cosh(1.3) == 1.9709142303266285E+000 Math::Sinh(1.2) * Math::Cosh(4.9) + Math::Cosh(1.2) * Math::Sinh(4.9) == 2.2292776360739879E+002 Math::Sinh(6.1) == 2.2292776360739885E+002 Math::Cosh(1.2) * Math::Cosh(4.9) + Math::Sinh(1.2) * Math::Sinh(4.9) == 2.2293000647511826E+002 Math::Cosh(6.1) == 2.2293000647511832E+002 */
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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