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Inverse cotangent in radians


Y = acot(X)



Y = acot(X) returns the Inverse Cotangent (cot-1) of the elements of X in radians. The function accepts both real and complex inputs.

  • For real values of X, acot(X) returns values in the interval [-π/2, π/2].

  • For complex values of X, acot(X) returns complex values.


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Find the inverse cotangent of a value.

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 -2πx<0 and 0<x2π.

x1 = -2*pi:pi/30:-0.1;
x2 = 0.1:pi/30:2*pi;
hold on
grid on

Input Arguments

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Cotangent of angle, specified as a scalar, vector, matrix, or multidimensional array. The acot operation is element-wise when X is nonscalar.

Data Types: single | double
Complex Number Support: Yes

More About

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Inverse Cotangent

The inverse cotangent is defined as


Extended Capabilities

Tall Arrays
Calculate with arrays that have more rows than fit in memory.

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.

GPU Arrays
Accelerate code by running on a graphics processing unit (GPU) using Parallel Computing Toolbox™.

Distributed Arrays
Partition large arrays across the combined memory of your cluster using Parallel Computing Toolbox™.

See Also

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Introduced before R2006a