cotd

Cotangent of argument in degrees

Syntax

Y = cotd(X)

Description

Y = cotd(X) returns the cotangent of the elements of X, which are expressed in degrees.

Examples

Cotangent of Angles Approaching 90 and 180 Degrees

Create a vector of input angles consisting of 90° and the next smaller and larger double precision numbers. Then compute the cotangent.

x1 = [90-eps(90) 90 90+eps(90)];
y1 = cotd(x1)

y1 = 1×3
10-15 ×

    0.2480         0   -0.2480

cotd returns zero when the input angle is exactly 90°. Evaluation at the next smaller double-precision angle returns a slightly positive result. Likewise, the cotangent is slightly negative when the input angle is the next double-precision number larger than 90.

The behavior is similar for input angles near 180°.

x2 = [180-eps(180) 180 180+eps(180)];
y2 = cotd(x2)

y2 = 1×3
1015 ×

   -2.0159      -Inf    2.0159

Cotangent of Complex Angle, Specified in Degrees

x = 35+5i;
y = cotd(x)

y = 
1.3958 - 0.2606i

Input Arguments

X — Angle in degrees

scalar value | vector | matrix | multidimensional array | table | timetable

Angle in degrees, specified as a real-valued or complex-valued scalar, vector, matrix, multidimensional array, table, or timetable. The cotd operation is element-wise when X is nonscalar.

Data Types: single | double | table | timetable
Complex Number Support: Yes

Output Arguments

Y — Cotangent of angle

scalar value | vector | matrix | multidimensional array | table | timetable

Cotangent of angle, returned as a real-valued or complex-valued scalar, vector, matrix, multidimensional array, table, or timetable of the same size as X.

Extended Capabilities

Tall Arrays

Calculate with arrays that have more rows than fit in memory.

The cotd 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:

• In some cases, generated code returns -Inf when MATLAB^® returns Inf.

• In some cases, generated code returns Inf when MATLAB returns -Inf.

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 cotd 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 R2006a

R2023a: Perform calculations directly on tables and timetables

The cotd 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.