tanh - Hyperbolic tangent - MATLAB (original) (raw)

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Syntax

Description

Y = tanh([X](#d126e1815853)) 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.

example

Examples

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

X = [0 pi 2pi 3pi]; Y = tanh(X)

Y = 1×4

     0    0.9963    1.0000    1.0000

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, multidimensional array, table, or timetable.

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

More About

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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

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Thetanh function fully supports tall arrays. For more information, see Tall Arrays.

The tanh function fully supports GPU arrays. To run the function on a GPU, specify the input data as a gpuArray (Parallel Computing Toolbox). For more information, see Run MATLAB Functions on a GPU (Parallel Computing Toolbox).

Version History

Introduced before R2006a

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The tanh function can calculate on all variables within a table or timetable without indexing to access those variables. All variables must have data types that support the calculation. For more information, see Direct Calculations on Tables and Timetables.