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# tan

Tangent of argument in radians

## Description

example

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 in the interval [-Inf, Inf], tan returns real values in the interval [-Inf ,Inf]. For complex values of X, tan returns complex values. All angles are in radians.

## Examples

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### Plot Tangent Function

Plot the tangent function over the domain .

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


### Tangent of Vector of Complex Angles

Calculate the tangent of the complex angles in vector x.

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

y =

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



## Input Arguments

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

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

Data Types: single | double
Complex Number Support: Yes

## Output Arguments

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

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

## More About

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### Tangent Function

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

.

The tangent of a complex angle, α, is

.

## See Also

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