In C, cosh() returns the hyperbolic cosine of x. It is not an angle. cosh(0) is 1, and every other real input gives a larger result.
You pass one double. The result is a double that is 1 or greater. Include <math.h>.
Pass any real number. Start with this call.
cosh(0.0);| Call | What it does |
|---|---|
cosh(0.0) | Returns 1, the smallest result this function gives. |
Include <math.h>. On GCC, link with -lm. x is not an angle in degrees.
double cosh(double x);
float coshf(float x);
long double coshl(long double x);| Parameter | Description |
|---|---|
| x | Required. Any real double. It is not an angle. |
| Return Value | Description |
|---|---|
| Hyperbolic cosine | A double that is 1 or greater. |
Print cosh(0) and cosh(1) to see the minimum and a typical growth value.
#include <stdio.h>
#include <math.h>
int main(void) {
printf("cosh(0) = %.6f\n", cosh(0.0));
printf("cosh(1) = %.6f\n", cosh(1.0));
return 0;
}cosh.%.6f for readable precision.Negating the input does not change the result.
#include <stdio.h>
#include <math.h>
int main(void) {
double a = cosh(1.5);
double b = cosh(-1.5);
printf("cosh(1.5) = %.6f\n", a);
printf("cosh(-1.5) = %.6f\n", b);
printf("same? %s\n", a == b ? "yes" : "no");
return 0;
}cosh with 1.5 and -1.5.x and -x swaps the two exponentials, then averages them.exp()Rebuild the definition using exp and compare with cosh.
#include <stdio.h>
#include <math.h>
int main(void) {
double x = 1.0;
double via_cosh = cosh(x);
double via_exp = (exp(x) + exp(-x)) / 2.0;
printf("cosh(x) = %.10f\n", via_cosh);
printf("(e^x+e^-x)/2 = %.10f\n", via_exp);
return 0;
}cosh(x) is the dedicated function.exp(x) and exp(-x).x, both paths agree closely.Compute e^x—the building block behind hyperbolic identities.
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