Inverse cosine in radians
Syntax
Description
example
returns the Inverse Cosine [cos-1] of the elements of Y
= acos[X
]X
in radians. The function accepts both real and complex inputs.
For real values of
X
in the interval [-1, 1],acos[X]
returns values in the interval [0, π].For real values of
X
outside the interval [-1,1] and for complex values ofX
,acos[X]
returns complex values.
Examples
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Inverse Cosine of Value
Find the inverse cosine of a value.
Inverse Cosine of Vector of Complex Values
Find the inverse cosine of the elements of vector x
. The acos
function acts on x
element-wise.
x = [0.5i 1+3i -2.2+i]; y = acos[x]
y = 1×3 complex
1.5708 - 0.4812i 1.2632 - 1.8642i 2.6799 - 1.5480i
Plot Inverse Cosine Function
Plot the inverse cosine function over the intervals -1≤x≤1.
x = -1:.01:1;
plot[x,acos[x]]
grid on
Input Arguments
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X
—
Cosine of angle
scalar | vector | matrix | multidimensional array
Cosine of angle, specified as a scalar, vector, matrix,
or multidimensional array. The acos
operation is element-wise when X
is nonscalar.
Data Types: single
| double
Complex Number Support: Yes
More About
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Inverse Cosine
The inverse cosine is defined as
Extended Capabilities
Tall Arrays
Calculate with arrays that have more rows than fit in memory.
This function fully supports tall arrays. For more information, see Tall Arrays.
C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.
Usage notes and limitations:
Generates an error during simulation and returns
NaN
in generated code when the input valueX
is 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 returns
NaN
in generated code when the input valueX
is real, but the output should be complex. To get the complex result, make the input value complex by passing incomplex[X]
.
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, see Run MATLAB Functions in Thread-Based Environment.
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, see Work with Complex Numbers on a GPU [Parallel Computing Toolbox].
For more information, see Run 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, see Run MATLAB Functions with Distributed Arrays [Parallel Computing Toolbox].
Version History
Introduced in R2006a