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# cos

• 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 purely real values or imaginary values of X, cos returns real values in the interval [-1 ,1]. For complex values of X, cos returns complex values. All angles are in radians.

## Examples

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### Plot Cosine Function

Plot the cosine function over the domain .

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


### Cosine of Vector of Complex Angles

Calculate the cosine of the complex angles in vector x.

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

y =

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



## Input Arguments

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### X — Input angle in radiansscalar value | vector | matrix | N-D array

Input angle in radians, specified as a real-valued or complex-valued scalar, vector, matrix or N-D array. The cos operation is element-wise when X is non-scalar.

Data Types: single | double
Complex Number Support: Yes

## Output Arguments

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### Y — Cosine of input anglescalar value | vector | matrix | N-D array

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