tanh

Hyperbolic tangent

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Syntax

Y = tanh(X)

Description

example

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.

Examples

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Open Live Script

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
Open Live Script

Plot the hyperbolic tangent function over the domain -5≤x≤5.

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

Input Arguments

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

Data Types: single | double
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

tanh(x)=sinh(x)cosh(x)=e2x−1e2x+1.

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

tanh(x)=−itan(ix) .

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

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Introduced before R2006a

MATLAB Documentation
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