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# acot

Inverse cotangent in radians

## 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

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