Math.Sinh Method
[ This article is for Windows Phone 8 developers. If you’re developing for Windows 10, see the latest documentation. ]
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 following example uses Sinh to evaluate certain hyperbolic identities for selected values.
' Example for the hyperbolic Math.Sinh( Double ) and Math.Cosh( Double ) methods. Module Example Public Sub Demo(ByVal outputBlock As System.Windows.Controls.TextBlock) outputBlock.Text &= _ "This example of hyperbolic " & _ "Math.Sinh( Double ) and Math.Cosh( Double )" & vbCrLf & _ "generates the following output." & vbCrLf & vbCrLf outputBlock.Text &= _ "Evaluate these hyperbolic identities " & _ "with selected values for X:" & vbCrLf outputBlock.Text &= _ " cosh^2(X) - sinh^2(X) = 1" & vbCrLf & _ " sinh(2 * X) = 2 * sinh(X) * cosh(X)" & vbCrLf outputBlock.Text &= " cosh(2 * X) = cosh^2(X) + sinh^2(X)" & vbCrLf UseExample(outputBlock, 0.1) UseExample(outputBlock, 1.2) UseExample(outputBlock, 4.9) outputBlock.Text &= _ vbCrLf & "Evaluate these hyperbolic " & _ "identities with selected values for X and Y:" & vbCrLf outputBlock.Text &= _ " sinh(X + Y) = sinh(X) * cosh(Y) + cosh(X) * sinh(Y)" & vbCrLf outputBlock.Text &= _ " cosh(X + Y) = cosh(X) * cosh(Y) + sinh(X) * sinh(Y)" & vbCrLf UseTwoArgs(outputBlock, 0.1, 1.2) UseTwoArgs(outputBlock, 1.2, 4.9) End Sub 'Main ' Evaluate hyperbolic identities with a given argument. Sub UseExample(ByVal outputBlock As System.Windows.Controls.TextBlock, ByVal arg As Double) Dim sinhArg As Double = Math.Sinh(arg) Dim coshArg As Double = Math.Cosh(arg) ' Evaluate cosh^2(X) - sinh^2(X) = 1. outputBlock.Text &= String.Format( _ vbCrLf & " Math.Sinh({0}) = {1:E16}" + _ vbCrLf & " Math.Cosh({0}) = {2:E16}", _ arg, Math.Sinh(arg), Math.Cosh(arg)) & vbCrLf outputBlock.Text &= String.Format( _ "(Math.Cosh({0}))^2 - (Math.Sinh({0}))^2 = {1:E16}", _ arg, coshArg * coshArg - sinhArg * sinhArg) & vbCrLf ' Evaluate sinh(2 * X) = 2 * sinh(X) * cosh(X). outputBlock.Text &= String.Format( _ " Math.Sinh({0}) = {1:E16}", _ 2.0 * arg, Math.Sinh((2.0 * arg))) & vbCrLf outputBlock.Text &= String.Format( _ " 2 * Math.Sinh({0}) * Math.Cosh({0}) = {1:E16}", _ arg, 2.0 * sinhArg * coshArg) & vbCrLf ' Evaluate cosh(2 * X) = cosh^2(X) + sinh^2(X). outputBlock.Text &= String.Format( _ " Math.Cosh({0}) = {1:E16}", _ 2.0 * arg, Math.Cosh((2.0 * arg))) & vbCrLf outputBlock.Text &= String.Format( _ "(Math.Cosh({0}))^2 + (Math.Sinh({0}))^2 = {1:E16}", _ arg, coshArg * coshArg + sinhArg * sinhArg) & vbCrLf End Sub 'UseExample ' Evaluate hyperbolic identities that are functions of two arguments. Sub UseTwoArgs(ByVal outputBlock As System.Windows.Controls.TextBlock, ByVal argX As Double, ByVal argY As Double) ' Evaluate sinh(X + Y) = sinh(X) * cosh(Y) + cosh(X) * sinh(Y). outputBlock.Text &= String.Format( _ vbCrLf & " Math.Sinh({0}) * Math.Cosh({1}) +" + _ vbCrLf & " Math.Cosh({0}) * Math.Sinh({1}) = {2:E16}", _ argX, argY, Math.Sinh(argX) * Math.Cosh(argY) + _ Math.Cosh(argX) * Math.Sinh(argY)) & vbCrLf outputBlock.Text &= String.Format( _ " Math.Sinh({0}) = {1:E16}", _ argX + argY, Math.Sinh((argX + argY))) & vbCrLf ' Evaluate cosh(X + Y) = cosh(X) * cosh(Y) + sinh(X) * sinh(Y). outputBlock.Text &= String.Format( _ " Math.Cosh({0}) * Math.Cosh({1}) +" + _ vbCrLf & " Math.Sinh({0}) * Math.Sinh({1}) = {2:E16}", _ argX, argY, Math.Cosh(argX) * Math.Cosh(argY) + _ Math.Sinh(argX) * Math.Sinh(argY)) & vbCrLf outputBlock.Text &= String.Format( _ " Math.Cosh({0}) = {1:E16}", _ argX + argY, Math.Cosh((argX + argY))) & vbCrLf End Sub 'UseTwoArgs End Module 'SinhCosh ' 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
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