cos

Cosine of argument in radians

collapse all in page

Syntax

Y = cos(X)

Description

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

  • For real values of X, cos(X) returns real values in the interval [-1, 1].

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

Examples

collapse all

Open Live Script

Plot the cosine function over the domain -π≤x≤π.

x = -pi:0.01:pi; 
plot(x,cos(x))
grid on

Open Live Script

Calculate the cosine of the complex angles in vector x.

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

   1.5431 + 0.0000i  -2.5092 - 0.0000i  14.7547 +22.9637i

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

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

More About

collapse all

Cosine Function

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

cos(α)=adjacent sidehypotenuse=bh .

The cosine of a complex argument, α, is

cos(α)=eiα+e−iα2 .

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™.

See Also

| | | |

Introduced before R2006a

MATLAB Documentation

Support