atan

Inverse tangent in radians

Syntax

Y = atan(X)

Description

Y = atan(X)returns theInverse Tangent(tan^-1) of the elements ofXin radians. The function accepts both real and complex inputs.

For real values ofX,atan(X)returns values in the interval [-π/2, π/2].
For complex values ofX,atan(X)returns complex values.

Examples

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Inverse Tangent of a Value

Open Live Script

Find the inverse tangent of a value.

atan(0.8)

ans = 0.6747

Inverse Tangent of a Vector of Complex Values

Open Live Script

Find the inverse tangent of the elements of vectorx. Theatanfunction acts onxelement-wise.

x = [0.5i 1+3i -2.2+i]; Y = atan(x)

Y =1×3 complex0.0000 + 0.5493i 1.4615 + 0.3059i -1.2019 + 0.1506i

Plot the Inverse Tangent Function

Open Live Script

Plot the inverse tangent function over the interval $- 20 \leq x \leq 20$ .

x = -20:0.01:20; plot(x,atan(x)) gridon

Input Arguments

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`X`—Tangent of angle
scalar|vector|matrix|multidimensional array

Tangent of angle, specified as a scalar, vector, matrix, or multidimensional array. Theatanoperation is element-wise whenX是nonscalar.

Data Types:single|double
Complex Number Support:Yes

More About

collapse all

Inverse Tangent

The inverse tangent is defined as

$\tan^{- 1} (z) = \frac{i}{2} \log (\frac{i + z}{i - z}) .$

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™.

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).

atan

Syntax

Description

Examples

Inverse Tangent of a Value

Inverse Tangent of a Vector of Complex Values

Plot the Inverse Tangent Function

Input Arguments

`X`—Tangent of angle
scalar|vector|matrix|multidimensional array

More About

Inverse Tangent

Extended Capabilities

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™.

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™.

See Also

Introduced before R2006a

MATLAB Documentation

金宝app

Try MATLAB, Simulink, and Other Products

atan

Syntax

Description

Examples

Inverse Tangent of a Value

Inverse Tangent of a Vector of Complex Values

Plot the Inverse Tangent Function

Input Arguments

X—Tangent of anglescalar|vector|matrix|multidimensional array

More About

Inverse 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™.

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™.

See Also

Introduced before R2006a

MATLAB Documentation

金宝app

Try MATLAB, Simulink, and Other Products

`X`—Tangent of angle
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™.

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™.