asec
Inverse secant in radians
Syntax
Description
Y = asec(
returns the Inverse Secant
(sec-1) of the elements of X
)X
in radians.
The function accepts both real and complex inputs.
For real values of
X
in the interval [-∞, -1] and [1, ∞],asec(X)
returns values in the interval [0, π].For real values of
X
in the interval (-1, 1) and for complex values ofX
,asec(X)
returns complex values.
Examples
Inverse Secant of a Value
Inverse Secant of a Vector of Complex Values
Find the inverse secant of the elements of vector x
. The asec
function acts on x
element-wise.
x = [0.5i 1+3i -2.2+i]; Y = asec(x)
Y = 1×3 complex
1.5708 + 1.4436i 1.4749 + 0.2970i 1.9503 + 0.1833i
Plot the Inverse Secant Function
Plot the inverse secant function over the intervals and .
x1 = -5:0.01:-1; x2 = 1:0.01:5; plot(x1,asec(x1),'b') hold on plot(x2,asec(x2),'b') grid on
Input Arguments
X
— Secant of angle
scalar | vector | matrix | multidimensional array | table | timetable
Secant of angle, specified as a scalar, vector, matrix, multidimensional array,
table, or timetable. The asec
operation is element-wise when
X
is nonscalar.
Data Types: single
| double
| table
| timetable
Complex Number Support: Yes
More About
Inverse Secant
The inverse secant is defined as
Extended Capabilities
Tall Arrays
Calculate with arrays that have more rows than fit in memory.
The
asec
function fully supports tall arrays. For more information,
see Tall Arrays.
C/C++ Code Generation
Generate C and C++ code using MATLAB® 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 asec
function
supports GPU array input with these 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 before R2006aR2023a: Perform calculations directly on tables and timetables
The asec
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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