# Arc Cotangent

## Arc Cotangent

The arc cotangent of a real number x is a real number for which the cotangent is x.

The relation defined by y = arccot(x) is not a function.

### Notation

The symbol used to indicate the arc cotangent of a real number x is “arccot(x)” which is read as “arc cotangent of x.”

### Examples

In the sexagesimal system of measuring angles, we have:

• arccot(1) = 45
• arccot(1) = 180n ± 45 où where n is an integer.

Because cot(45°) = 1, arccot(1) = 45°.

The same is true for all angles of “45° ± 180°.”