The arc secant of a real number x is a real number with a secant of x.
The argument x of the arc secant relation is a real number between \(-\infty\) and \(+\infty\).
The relation defined by y = arcsec(x) is not a function.
Notation
The symbol used for the arc secant of a number x is “arcsec(x)” which is generally read as “arc secant of x.”
Examples
In the sexagesimal system of measuring angles, we have:
arcsec(2) = 60
arcsec(2) = 360n ± 60 where n is an integer.
- arcsec(2) = 60
- arcsec(2) = 360n ± 60 where n n is an integer.
Because sec(60°) = 2, arcsec(2) = 60.
It is the same for all angles from “60° ± 360°.”