# Documentation/Calc Functions/ACOT

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ACOT

Mathematical

## Summary:

Calculates the inverse trigonometric cotangent (arccotangent or arccot) of a real number. The value returned is the principal value and lies in the range (0, π) radians.

ACOT(Number)

## Returns:

Returns a real number in the range (0, π) that is the inverse trigonometric cotangent of Number in radians.

## Arguments:

Number is a real number, or a reference to a cell containing that number, whose inverse trigonometric cotangent is to be calculated.

• If Number is non-numeric, then ACOT reports a #VALUE! error.

• To return the angle in degrees, use the DEGREES function.
• Alternatively multiply by 180/PI() to convert the result from radians to degrees.

The figure below illustrates the function ACOT.

## Examples:

Formula Description Returns
=ACOT(-1) Inverse trigonometric cotangent of -1. 2.35619449019234 (3π/4)
=ACOT(0.5) Inverse trigonometric cotangent of 0.5. 1.10714871779409
=DEGREES(ACOT(0.5)) Inverse trigonometric cotangent of 0.5, converted to degrees. 63.434948822922
=ACOT(0.5)*180/PI() Inverse trigonometric cotangent of 0.5, converted to degrees. 63.434948822922
=DEGREES(ACOT(COT(RADIANS(60))) An angle of 60° is converted to radians, its cotangent is taken, then the inverse cotangent of that value is calculated, and finally the result is converted back to degrees. 60

ACOT