The topic you requested is included in another documentation set. For convenience, it's displayed below. Choose Switch to see the topic in its original location.
Math::Cosh Method (Double)
.NET Framework (current version)
Returns the hyperbolic cosine 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 cosine of value. If value is equal to NegativeInfinity or PositiveInfinity, PositiveInfinity is returned. If value is equal to NaN, NaN is returned.
The angle, value, must be in radians. Multiply by Math::PI/180 to convert degrees to radians.
The following example uses Cosh 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 */
Universal Windows Platform
Available since 8
.NET Framework
Available since 1.1
Portable Class Library
Supported in: portable .NET platforms
Silverlight
Available since 2.0
Windows Phone Silverlight
Available since 7.0
Windows Phone
Available since 8.1
Available since 8
.NET Framework
Available since 1.1
Portable Class Library
Supported in: portable .NET platforms
Silverlight
Available since 2.0
Windows Phone Silverlight
Available since 7.0
Windows Phone
Available since 8.1
Show: