# Arc Secant

## Arc Secant

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°.”