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) = 180
*n*± 45 où where*n*is an integer.

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

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