# How to use the ACOT function

**What is the ACOT function?**

The ACOT function calculates the arccotangent of a given number which is an angle given in radians from 0 (zero) to pi.

**What is the trigonometric tangent?**

The tangent ratio is the opposite side divided by adjacent side of a right triangle.

tangent= opposite / adjacent side

**What is the cotangent?**

The trigonometric cotangent is a function that relates an angle of a right triangle to the ratio of adjacent side and the opposite side. It is also the inverse of the tangent, cot(Î¸) = 1/tan(Î¸).

**What is the arccotangent?**

The arccotangent is the inverse cotangent also writtenÂ cot^{-1}. The inverse cotangent is used to find the angle Î¸ when given the cotangent ratio.

**What is the angle Î¸?**

The Greek letter theta (Î¸) is commonly used to represent an unknown angle in a right triangle. The ACOS function returns the angle Î¸ expressed in radians.

**What is a right triangle?**

A right triangle is a type of triangle that contains one internal angle measuring 90 degrees or Ï€/2 radians (a right angle).

**What are radians?**

Radians are a unit used to measure angles. An angle of 1 radian has an arc length equal to the circle's radius.

**What is the relationship between the number pi and radians?**

Radians measure angles by the length of the arc they make in a circle rather than degrees. The full circumference of any circle is 2Ï€ multiplied by the circle's radius (2Ï€r).

Since the circumference goes all the way around a circle, that means the full circle measures 2Ï€ radians. Half a circle would be Ï€ radians (half of 2Ï€). A quarter circle is 2Ï€/4 = Ï€/2 radians. An eighth of a circle is 2Ï€/8 = Ï€/4 radians.

Excel has a function that returns the number pi:Â PI function

**What is an arc?**

An arc is a curved segment of a circle's circumference, it is a portion of the circle's curve, defined by two endpoints.

In other words, an arc is formed by two radii intersecting the circumference and the enclosed edge between them.

**What is a circle's radius?**

The radius of a circle is the distance from the center point to any point on the circle's edge or circumference.

**What is radii?**

The plural form of the word "radius".

**What is the radius of a circle?**

The radius of a circle is the distance from the center point to any point on the circle's edge or circumference.

**What are degrees?**

Degrees are a unit used to measure angles. It is based on dividing a full circle into 360 equal parts. Degrees are divided into fractional parts like minutes and seconds for more precision.

**What is the relationship between radians and degrees?**

The circumference of a circle is 360 degrees or 2Ï€ radians.

360 degrees = 2Ï€ radians

which is

degrees = radians x (180 / Ï€)

Excel has two functions for converting between radians and degrees:Â RADIANSÂ |Â DEGREES

**What is the difference between the COT function and the ACOT function?**

The COT function calculates the ratio of the adjacent side divided by the opposite side based on an angle expressed in radians.

COT(Î¸) = opposite / adjacent

The ACOT function calculates the angle expressed in radians based on a number representing the ratio of the adjacent side divided by the opposite side.

ACOT(opposite / adjacent) = Î¸

## 1. ACOT Function Syntax

ACOT(*number*)

## 2. ACOT Function Arguments

number |
Required. The number is the cotangent of the angle you want. This must be a real number. |

### Comments

Use DEGREES function to convert radians to degrees.

Recommended articles

What is the DEGREES function? The DEGREES function calculates degrees based on radians. What is degree? Degrees are a unit […]

## 3. ACOT Function example

Formula in cell C3:

## 4. ACOT Function not working

### Functions in 'Math and trigonometry' category

The ACOT function function is one of 73 functions in the 'Math and trigonometry' category.

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