# Documentation

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# acot

## Syntax

``Y = acot(X)``

## Description

example

````Y = acot(X)` returns the Inverse Cotangent (cot-1) of the elements of `X`. The `acot` function operates element-wise on arrays. For real elements of `X`, `acot(X)` returns values in the interval `[-pi/2,pi/2]`. For complex values of `X`, `acot(X)` returns complex values. All angles are in radians.```

## Examples

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`acot(2.6)`
```ans = 0.3672 ```

Find the inverse cotangent of the elements of vector `x`. The `acot` function acts on `x` element-wise.

```x = [0.5i 1+3i -2.2+i]; Y = acot(x)```
```Y = 1.5708 - 0.5493i 0.1093 - 0.3059i -0.3689 - 0.1506i ```

Plot the inverse cotangent function over the intervals and .

```x1 = -2*pi:pi/30:-0.1; x2 = 0.1:pi/30:2*pi; plot(x1,acot(x1),'b') hold on plot(x2,acot(x2),'b') grid on```

## Input Arguments

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Numeric input, specified as a number, vector, matrix, or multidimensional array.

Data Types: `single` | `double`
Complex Number Support: Yes

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### Inverse Cotangent

The inverse cotangent is defined as

`${\mathrm{cot}}^{-1}\left(z\right)={\mathrm{tan}}^{-1}\left(\frac{1}{z}\right).$`