tanh

Hyperbolic tangent

Syntax

Y = tanh(X)

Description

Y = tanh(X)返回双曲他t of the elements ofX. Thetanhfunction operates element-wise on arrays. The function accepts both real and complex inputs. All angles are in radians.

Examples

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Hyperbolic Tangent of Vector

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 =1×40 0.9963 1.0000 1.0000

Graph of Hyperbolic Tangent Function

Open Live Script

Plot the hyperbolic tangent function over the domain $- 5 \leq x \leq 5$ .

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

Figure contains an axes object. The axes object contains an object of type line.

Input Arguments

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`X`—Input angles in radians
scalar|vector|matrix|multidimensional array

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 anglexis the ratio of the hyperbolic sine and hyperbolic cosine

$\tanh (x) = \frac{\sinh (x)}{\cosh (x)} = \frac{e^{2 x} - 1}{e^{2 x} + 1} .$

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

$\tanh (x) = - i \tan (i x) .$

Extended Capabilities

Tall Arrays
Calculate with arrays that have more rows than fit in memory.

This function fully supports tall arrays. For more information, seeTall Arrays.

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.

GPU Code Generation
Generate CUDA® code for NVIDIA® GPUs using GPU Coder™.

Thread-Based Environment
Run code in the background using MATLAB®`backgroundPool`or accelerate code with Parallel Computing Toolbox™`ThreadPool`.

This function fully supports thread-based environments. For more information, seeRun MATLAB Functions in Thread-Based Environment.

GPU Arrays
Accelerate code by running on a graphics processing unit (GPU) using Parallel Computing Toolbox™.

This function fully supports GPU arrays. For more information, seeRun MATLAB Functions on a GPU(Parallel Computing Toolbox).

Distributed Arrays
Partition large arrays across the combined memory of your cluster using Parallel Computing Toolbox™.

This function fully supports distributed arrays. For more information, seeRun MATLAB Functions with Distributed Arrays(Parallel Computing Toolbox).

Version History

Introduced before R2006a

tanh

Syntax

Description

Examples

Hyperbolic Tangent of Vector

Graph of Hyperbolic Tangent Function

Input Arguments

X—Input angles in radiansscalar|vector|matrix|multidimensional array

More About

Hyperbolic Tangent

Extended Capabilities

Tall ArraysCalculate with arrays that have more rows than fit in memory.

C/C++ Code GenerationGenerate C and C++ code using MATLAB® Coder™.

GPU Code GenerationGenerate CUDA® code for NVIDIA® GPUs using GPU Coder™.

Thread-Based EnvironmentRun code in the background using MATLAB®backgroundPoolor accelerate code with Parallel Computing Toolbox™ThreadPool.

GPU ArraysAccelerate code by running on a graphics processing unit (GPU) using Parallel Computing Toolbox™.

Distributed ArraysPartition large arrays across the combined memory of your cluster using Parallel Computing Toolbox™.

Version History

See Also

`X`—Input angles in radians
scalar|vector|matrix|multidimensional array

Tall Arrays
Calculate with arrays that have more rows than fit in memory.

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.

GPU Code Generation
Generate CUDA® code for NVIDIA® GPUs using GPU Coder™.

Thread-Based Environment
Run code in the background using MATLAB®`backgroundPool`or accelerate code with Parallel Computing Toolbox™`ThreadPool`.

GPU Arrays
Accelerate code by running on a graphics processing unit (GPU) using Parallel Computing Toolbox™.

Distributed Arrays
Partition large arrays across the combined memory of your cluster using Parallel Computing Toolbox™.