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#Trigonometry

ACOT

Excel Functions

Get arccotangent of a number.

Syntax

EXCEL 
=ACOT(number)

Arguments

Parameter Description
number The value of the cotangent of an angle.

Return Value

The angle in radians.

Details

The Excel ACOT function returns the arc cotangent of a number. Given the input 1, the function returns 0.785398163 radians as the output. The arc cotangent function is the inverse of the cotangent function, with a branch cut that maps to related angles. For example, the angle π/4 is mapped to π/4 with no branch cut. Where the angle -π/2 is mapped to positive π/2 with a branch cut. In Excel, when we talk about ACOT as the inverse of COT, angles outside the range of 0 to π are mapped with a branch cut. Below is the output of the cotangent function with the branch cut highlighted.

Examples

Example 1

The Excel ACOT function returns the arc cotangent of a number. Given the input 1, the function returns 0.785398163 radians as the output.

EXCEL 
=ACOT(1) // Returns 0.785398163 radians
Explanation

The arc cotangent function is the inverse of the cotangent function, with a branch cut that maps to related angles.

EXCEL 
=ACOT(COT(a)) // returns the angle or a branch cut angle
Explanation

For example, the angle π/4 is mapped to π/4 with no branch cut.

EXCEL 
=ACOT(COT(PI()/4)) // returns π/4
Explanation

Where the angle -π/2 is mapped to positive π/2 with a branch cut.

EXCEL 
=ACOT(COT(-PI()/2)) // returns positive π/2

See Also

COT ATAN