acot
Inverse cotangent in radians
Syntax
Description
Y = acot(
returns the Inverse Cotangent
(cot-1) of the elements of X
)X
in radians.
The function accepts both real and complex inputs.
For real values of
X
,acot(X)
returns values in the interval [-π/2, π/2].For complex values of
X
,acot(X)
returns complex values.
Examples
Inverse Cotangent of a Value
Inverse Cotangent of a Vector of Complex Values
Find the inverse cotangent of the elements of vector x
. The acot
function acts on x
element-wise.
x = [0.5i 1+3i -2.2+i]; Y = acot(x)
Y = 1×3 complex
1.5708 - 0.5493i 0.1093 - 0.3059i -0.3689 - 0.1506i
Plot the Inverse Cotangent Function
Plot the inverse cotangent function over the intervals and .
x1 = -2*pi:pi/30:-0.1; x2 = 0.1:pi/30:2*pi; plot(x1,acot(x1),'b') hold on plot(x2,acot(x2),'b') grid on
Input Arguments
X
— Cotangent of angle
scalar | vector | matrix | multidimensional array | table | timetable
Cotangent of angle, specified as a scalar, vector, matrix, multidimensional array,
table, or timetable. The acot
operation is element-wise when
X
is nonscalar.
Data Types: single
| double
| table
| timetable
Complex Number Support: Yes
More About
Inverse Cotangent
The inverse cotangent is defined as
Extended Capabilities
Tall Arrays
Calculate with arrays that have more rows than fit in memory.
The
acot
function fully supports tall arrays. For more information,
see Tall 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, see Run MATLAB Functions in Thread-Based Environment.
GPU Arrays
Accelerate code by running on a graphics processing unit (GPU) using Parallel Computing Toolbox™.
The acot
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).
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 before R2006aR2023a: Perform calculations directly on tables and timetables
The acot
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.
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