# acot

## Syntax

• Y = acot(X)
example

## 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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### Inverse Cotangent of a Value

acot(2.6)
ans = 0.3672

### Inverse Cotangent of a Vector of Complex Values

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

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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### X — Numeric inputnumber | vector | matrix | multidimensional array

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

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