Math.Cosh(Double) Метод
Определение
Важно!
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Возвращает гиперболический косинус указанного угла.
public:
static double Cosh(double value);public static double Cosh (double value);static member Cosh : double -> doublePublic Shared Function Cosh (value As Double) As DoubleПараметры
- value
- Double
Угол, измеряемый в радианах.
Возвращаемое значение
Гиперболический косинус value. Если значение параметра value равно NegativeInfinity или PositiveInfinity, то возвращаемое значение равно PositiveInfinity. Если значение параметра value равно NaN, возвращается значение NaN.
Примеры
В следующем примере используется Cosh для оценки определенных гиперболических удостоверений для выбранных значений.
// 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
Комментарии
Угол должен valueбыть в радианах. Умножьте на Math.PI/180, чтобы преобразовать градусы в радианы.
Этот метод вызывает базовую среду выполнения C, и точный результат или допустимый диапазон входных данных может отличаться в разных операционных системах или архитектурах.
Применяется к
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