Math.Cosh(Double) 方法
定义
重要
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返回指定角度的双曲余弦值。
public:
static double Cosh(double value);public static double Cosh (double value);static member Cosh : double -> doublePublic Shared Function Cosh (value As Double) As Double参数
- value
- Double
以弧度计量的角度。
返回
value 的双曲余弦值。 如果 value 等于 NegativeInfinity 或 PositiveInfinity，则返回 PositiveInfinity。 如果 value 等于 NaN，则返回 NaN。
示例
以下示例使用 Cosh 来评估所选值的某些双曲标识。
// 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
*/
// Example for the hyperbolic Math.Sinh( double )
// and Math.Cosh( double ) methods.
using System;
class SinhCosh
{
public static void 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);
}
// Evaluate hyperbolic identities with a given argument.
static 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.
static 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));
}
}
/*
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
*/
// Example for the hyperbolic Math.Sinh( double )
// and Math.Cosh( double ) methods.
// In F#, the sinh and coh functions may be used instead
open System
// Evaluate hyperbolic identities with a given argument.
let useSinhCosh arg =
let sinhArg = Math.Sinh arg
let coshArg = Math.Cosh arg
// Evaluate cosh^2(X) - sinh^2(X) = 1.
printfn $"""
Math.Sinh({arg}) = {Math.Sinh arg:E16}
Math.Cosh({arg}) = {Math.Cosh arg:E16}"""
printfn $"(Math.Cosh({arg}))^2 - (Math.Sinh({arg}))^2 = {coshArg * coshArg - sinhArg * sinhArg:E16}"
// Evaluate sinh(2 * X) = 2 * sinh(X) * cosh(X).
printfn $" Math.Sinh({2. * arg}) = {Math.Sinh(2. * arg):E16}"
printfn $" 2 * Math.Sinh({arg}) * Math.Cosh({arg}) = {2. * sinhArg * coshArg:E16}"
// Evaluate cosh(2 * X) = cosh^2(X) + sinh^2(X).
printfn $" Math.Cosh({2. * arg}) = {Math.Cosh(2. * arg):E16}"
printfn $"(Math.Cosh({arg}))^2 + (Math.Sinh({arg}))^2 = {coshArg * coshArg + sinhArg * sinhArg:E16}"
// Evaluate hyperbolic identities that are functions of two arguments.
let useTwoArgs argX argY =
// Evaluate sinh(X + Y) = sinh(X) * cosh(Y) + cosh(X) * sinh(Y).
printfn $"""
Math.Sinh({argX}) * Math.Cosh({argY})
Math.Cosh({argX}) * Math.Sinh({argY}) = {Math.Sinh argX * Math.Cosh argY + Math.Cosh argX * Math.Sinh argY:E16}"""
printfn $" Math.Sinh({argX + argY}) = {Math.Sinh(argX + argY):E16}"
// Evaluate cosh(X + Y) = cosh(X) * cosh(Y) + sinh(X) * sinh(Y).
printfn
"""Math.Cosh({argX}) * Math.Cosh({argY})
Math.Sinh({argX}) * Math.Sinh({argY}) = {Math.Cosh argX * Math.Cosh argY + Math.Sinh argX * Math.Sinh argY:E16}"""
printfn $" Math.Cosh({argX + argY}) = {Math.Cosh(argX + argY):E16}"
printfn
"""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)"""
useSinhCosh 0.1
useSinhCosh 1.2
useSinhCosh 4.9
printfn "\nEvaluate these hyperbolic identities with selected values for X and Y:"
printfn " sinh(X + Y) = sinh(X) * cosh(Y) + cosh(X) * sinh(Y)"
printfn " 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
' Example for the hyperbolic Math.Sinh( Double ) and Math.Cosh( Double ) methods.
Module SinhCosh
Sub Main()
Console.WriteLine( _
"This example of hyperbolic " & _
"Math.Sinh( Double ) and Math.Cosh( Double )" & vbCrLf & _
"generates the following output." & vbCrLf)
Console.WriteLine( _
"Evaluate these hyperbolic identities " & _
"with selected values for X:")
Console.WriteLine( _
" cosh^2(X) - sinh^2(X) = 1" & vbCrLf & _
" 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( _
vbCrLf & "Evaluate 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)
End Sub
' Evaluate hyperbolic identities with a given argument.
Sub UseSinhCosh(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.
Console.WriteLine( _
vbCrLf & " Math.Sinh({0}) = {1:E16}" + _
vbCrLf & " 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)
End Sub
' Evaluate hyperbolic identities that are functions of two arguments.
Sub UseTwoArgs(argX As Double, argY As Double)
' Evaluate sinh(X + Y) = sinh(X) * cosh(Y) + cosh(X) * sinh(Y).
Console.WriteLine( _
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))
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}) +" + _
vbCrLf & " 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)))
End Sub
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
注解
角度 value必须以弧度为单位。 乘 Math.PI以 /180 可将度数转换为弧度。
此方法调用基础 C 运行时，不同的操作系统或体系结构之间的确切结果或有效输入范围可能会有所不同。
适用于
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