std::sinh, std::sinhf, std::sinhl

Defined in header <cmath>
float       sinh ( float arg );
float       sinhf( float arg );
(since C++11)
double      sinh ( double arg );
long double sinh ( long double arg );
long double sinhl( long double arg );
(since C++11)
double      sinh ( IntegralType arg );
(4) (since C++11)
1-3) Computes the hyperbolic sine of arg
4) A set of overloads or a function template accepting an argument of any integral type. Equivalent to 2) (the argument is cast to double).


arg - value of a floating-point or Integral type

Return value

If no errors occur, the hyperbolic sine of arg (sinh(arg), or earg-e-arg/2) is returned.

If a range error due to overflow occurs, ±HUGE_VAL, ±HUGE_VALF, or ±HUGE_VALL is returned.

If a range error occurs due to underflow, the correct result (after rounding) is returned.

Error handling

Errors are reported as specified in math_errhandling.

If the implementation supports IEEE floating-point arithmetic (IEC 60559),

  • if the argument is ±0 or ±∞, it is returned unmodified
  • if the argument is NaN, NaN is returned


POSIX specifies that in case of underflow, arg is returned unmodified, and if that is not supported, and implementation-defined value no greater than DBL_MIN, FLT_MIN, and LDBL_MIN is returned.


#include <iostream>
#include <cmath>
#include <cerrno>
#include <cstring>
#include <cfenv>
int main()
    std::cout << "sinh(1) = " << std::sinh(1) << '\n'
              << "sinh(-1) = " << std::sinh(-1) << '\n'
              << "log(sinh(1)+cosh(1)) = "
              << std::log(std::sinh(1)+std::cosh(1)) << '\n';
    // special values
    std::cout << "sinh(+0) = " << std::sinh(0.0) << '\n'
              << "sinh(-0) = " << std::sinh(-0.0) << '\n';
    // error handling
    errno = 0;
    std::cout << "sinh(710.5) = " << std::sinh(710.5) << '\n';
    if (errno == ERANGE)
        std::cout << "    errno == ERANGE: " << std::strerror(errno) << '\n';
    if (std::fetestexcept(FE_OVERFLOW))
        std::cout << "    FE_OVERFLOW raised\n";


sinh(1) = 1.1752
sinh(-1) = -1.1752
log(sinh(1)+cosh(1)) = 1
sinh(+0) = 0
sinh(-0) = -0
sinh(710.5) = inf
    errno == ERANGE: Numerical result out of range
    FE_OVERFLOW raised

See also

computes hyperbolic cosine (\({\small\cosh{x} }\)cosh(x))
computes hyperbolic tangent (\({\small\tanh{x} }\)tanh(x))
computes the inverse hyperbolic sine (\({\small\operatorname{arsinh}{x} }\)arsinh(x))
computes hyperbolic sine of a complex number (\({\small\sinh{z} }\)sinh(z))
(function template)
applies the function std::sinh to each element of valarray
(function template)
C documentation for sinh

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