Main Content


Cotangent of angle in radians



Y = cot(X) returns the cotangent of elements of X. The cot function operates element-wise on arrays. The function accepts both real and complex inputs.

  • For real values of X, cot(X) returns real values in the interval [-∞, ∞].

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


collapse all

Plot the cotangent function over the domain -π<x<0 and 0<x<π .

x1 = -pi+0.01:0.01:-0.01; 
x2 = 0.01:0.01:pi-0.01;
plot(x1,cot(x1),x2,cot(x2)), grid on

Figure contains an axes object. The axes object contains 2 objects of type line.

Calculate the cotangent of the complex angles in vector x.

x = [-i pi+i*pi/2 -1+i*4];
y = cot(x)
y = 1×3 complex

   0.0000 + 1.3130i  -0.0000 - 1.0903i  -0.0006 - 0.9997i

Input Arguments

collapse all

Input angle in radians, specified as a scalar, vector, matrix, or multidimensional array.

Data Types: single | double
Complex Number Support: Yes

Output Arguments

collapse all

Cotangent of input angle, returned as a real-valued or complex-valued scalar, vector, matrix or multidimensional array.

More About

collapse all

Cotangent Function

The cotangent of an angle, α, defined with reference to a right angled triangle is

cot(α)=1tan(α)=adjacent sideopposite side=ba.


The cotangent of a complex argument α is




  • In floating-point arithmetic, cot is a bounded function. That is, cot does not return values of Inf or -Inf at points of divergence that are multiples of pi, but a large magnitude number instead. This stems from the inaccuracy of the floating-point representation of π.

Extended Capabilities

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

GPU Code Generation
Generate CUDA® code for NVIDIA® GPUs using GPU Coder™.

Version History

Introduced before R2006a

See Also

| | | |