C++ cosh()

The cosh() function in C++ returns the hyperbolic cosine of an angle given in radians.

The function is defined in <cmath> header file.


[Mathematics] cosh x = cosh(x) [In C++ Programming]

cosh() prototype [As of C++ 11 standard]

double cosh(double x);
float cosh(float x);
long double cosh(long double x);
double cosh(T x); // For integral type.

The cosh() function takes a single argument in radians and returns the hyperbolic cosine of that angle in double, float or long double type.


The hyperbolic cosine of x is given by,

C++ cosh() function
Formula of cosh()

cosh() Parameters

The cosh() function takes a single mandatory argument representing a hyperbolic angle in radians.


cosh() Return value

The cosh() function returns the hyperbolic cosine of the argument.

If the magnitude of the result is too large to be represented by a value of the return type, the function returns HUGE_VAL with the proper sign, and an overflow range error occurs.


Example 1: How cosh() function works?

#include <iostream>
#include <cmath>
using namespace std;
int main()
{
    double x = 4.55, result;

    result = cosh(x);
    cout << "cosh(x) = " << result << endl;

    // x in Degrees
    double xDegrees = 90;
    x = xDegrees * 3.14159/180;

    result = cosh(x);
    cout << "cosh(x) = " << result << endl;

    return 0;
}

When you run the program, the output will be:

cosh(x) = 47.3215
cosh(x) = 2.50918

Example 2: cosh() function with integral type

#include <iostream>
#include <cmath>
using namespace std;
int main()
{
    int x = -3;
    double result;

    result = cosh(x);
    cout << "cosh(x) = " << result << endl;

    return 0;
}

When you run the program, the output will be:

cosh(x) = 10.0179
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