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Hyperbolic tangent



Y = tanh(X) returns the hyperbolic tangent of the elements of X. The tanh function operates element-wise on arrays. The function accepts both real and complex inputs. All angles are in radians.


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Create a vector and calculate the hyperbolic tangent of each value.

X = [0 pi 2*pi 3*pi];
Y = tanh(X)
Y = 1×4

         0    0.9963    1.0000    1.0000

Plot the hyperbolic tangent function over the domain -5x5.

x = -5:0.01:5; 
y = tanh(x);
grid on

Input Arguments

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Input angles in radians, specified as a scalar, vector, matrix, multidimensional array, table, or timetable.

Data Types: single | double | table | timetable
Complex Number Support: Yes

More About

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Hyperbolic Tangent

The hyperbolic tangent of an angle x is the ratio of the hyperbolic sine and hyperbolic cosine


In terms of the traditional tangent function with a complex argument, the identity is


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™.

Version History

Introduced before R2006a

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See Also

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