asin

Inverse sine in radians

Syntax

Y = asin(X)

Description

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

For real values ofXin the interval [-1, 1],asin(X)returns values in the interval [-π/2, π/2].
For real values ofXoutside the interval [-1, 1] and for complex values ofX,asin(X)returns complex values.

Examples

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Inverse Sine of Value

Open Live Script

Find the inverse sine of a value.

y = asin(1)

y = 1.5708

Inverse Sine of Vector of Complex Values

Open Live Script

Find the inverse sine of the elements of vectorx. Theasinfunction acts onxelement-wise.

x = [0.5i 1+3i -2.2+i]; y = asin(x)

y =1×3 complex0.0000 + 0.4812i 0.3076 + 1.8642i -1.1091 + 1.5480i

Plot Inverse Sine Function

Open Live Script

Plot the inverse sine function over the intervals $- 1 \leq x \leq 1$ .

x = -1:.01:1; plot(x,asin(x)) gridon

Input Arguments

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

Sine of angle, specified as a scalar, vector, matrix, or multidimensional array. Theasinoperation is element-wise whenXis nonscalar.

Data Types:single|double
Complex Number Support:Yes

More About

collapse all

Inverse Sine

The inverse sine is defined as

$\sin^{- 1} (z) = - i \log [i z + {(1 - z^{2})}^{1 / 2}] .$

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™.

Usage notes and limitations:

Generates an error during simulation and returnsNaN在生成d code when the input valueXis real, but the output should be complex. To get the complex result, make the input value complex by passing incomplex(X).

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

Usage notes and limitations:

Generates an error during simulation and returnsNaN在生成d code when the input valueXis real, but the output should be complex. To get the complex result, make the input value complex by passing incomplex(X).

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

Usage notes and limitations:

If the output of the function running on the GPU can be complex, then you must explicitly specify its input arguments as complex. For more information, seeWork with Complex Numbers on a GPU(Parallel Computing Toolbox).

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).

asin

Syntax

Description

Examples

Inverse Sine of Value

Inverse Sine of Vector of Complex Values

Plot Inverse Sine Function

Input Arguments

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

More About

Inverse Sine

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 in R2006a

MATLAB Documentation

金宝app

Try MATLAB, Simulink, and Other Products

asin

Syntax

Description

Examples

Inverse Sine of Value

Inverse Sine of Vector of Complex Values

Plot Inverse Sine Function

Input Arguments

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

More About

Inverse Sine

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 in R2006a

MATLAB Documentation

金宝app

Try MATLAB, Simulink, and Other Products

`X`—Sine 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™.