commands → arcsinh

arcsinh(x)

The arcsinh command computes the inverse hyperbolic sine of x where x is in radians. If x is a floating point number then a floating point result is computed, otherwise the result represents an exact value.

Examples 

# hardware floating point
arcsinh(1.0);
	0.881373587019543

# symbolic
arcsinh(1);
	arcsinh(1)

Algorithm

To compute arcsinh in extended precision we express it as a natural logarithm.

References

Gullberg, Jan. Mathematics: From the Birth of Numbers. Norton, 1996.