Legacy Document

sinh

You can use the sinh function to compute the hyperbolic sine of a real number.

double_t sinh (double_t x);

x

Any floating-point number.

DESCRIPTION

The sinh function returns the hyperbolic sine of its argument. This function is antisymmetric.

The asinh function performs the inverse operation $(arcsinh(y))$ .

EXCEPTIONS

When x is finite and nonzero, the result of $sinh(x)$ might raise one of the following exceptions:

• inexact (for all finite, nonzero values of x)
• overflow (if the result is outside the range of the data type)
• underflow (if the result is inexact and must be represented as a denormalized number or 0)

SPECIAL CASES

Table 10-28 shows the results when the argument to the sinh function is a zero, a NaN, or an Infinity.

Special cases for the sinh function

Operation	Result	Exceptions raised
$sinh(+0)$	+0	None
$sinh(-0)$	$-0$	None
$sinh(NaN)$	NaN	None[50]
$sinh(+$ )	+	None
$sinh(-$ )	$-$	None

EXAMPLES

sinh(1.0);  /* z  1.175201. The inexact exception is raised. */
sinh(-1.0); /* z  -1.175201. The inexact exception is raised. */

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[50] If the NaN is a signaling NaN, the invalid exception is raised.