Documentation

### This is machine translation

Translated by
Mouseover text to see original. Click the button below to return to the English version of the page.

To view all translated materials including this page, select Country from the country navigator on the bottom of this page.

# acot

Inverse cotangent in radians

## 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

collapse all

`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 = 1×3 complex 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

collapse all

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

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

collapse all

### Inverse Cotangent

The inverse cotangent is defined as

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