This is machine translation

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

Note: This page has been translated by MathWorks. Click here to see
To view all translated materials including this page, select Country from the country navigator on the bottom of this page.


Cotangent of angle in radians


Y = cot(X)



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

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™.

See Also

| | | |

Introduced before R2006a