Arc Tangent

The arc tangent of a real number x is a real number with a tangent of x.

The relation defined by y = arc tan(x) is not a function. Arc tangente

Arc tangente

Notation

The symbol used to refer to the arc tangent of a real number x is “arc tan(x)” which is read as “arc tangent of x.”

Examples

In the sexagesimal system of measuring angles, we have: arc tan(1) = 45 arc tan(1) = 180n ± 45 where n is an integer.

arc tan(1) = 45
arc tan(1) = 180n ± 45 where n n is an integer.

Because tan(45°) = 1, arc tan(1) = 45. It is the same for all angles from “45° ± 180°.”