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.


Tangent of argument in radians


Y = tan(X)



Y = tan(X) returns the tangent of each element of X. The tan function operates element-wise on arrays. The function accepts both real and complex inputs.

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

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


collapse all

Plot the tangent function over the domain -π/2xπ/2 .

x = (-pi/2)+0.01:0.01:(pi/2)-0.01;
plot(x,tan(x)), grid on

Calculate the tangent of the complex angles in vector x.

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

   0.0000 - 0.7616i  -0.0000 + 0.9172i  -0.0006 + 1.0003i

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

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

More About

collapse all

Tangent Function

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

tan(α)=opposite sideadjacent side=ab.


The tangent of a complex argument, α, is




  • In floating-point arithmetic, tan is a bounded function. That is, tan 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