csch

Hyperbolic cosecant

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Syntax

Y = csch(X)

Description

example

Y = csch(X) returns the hyperbolic cosecant of the elements of X. The csch function operates element-wise on arrays. The function accepts both real and complex inputs. All angles are in radians.

Examples

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Open Live Script

Create a vector and calculate the hyperbolic cosecant of each value.

X = [0 pi 2*pi 3*pi];
Y = csch(X)
Y = 1×4

       Inf    0.0866    0.0037    0.0002
Open Live Script

Plot the hyperbolic cosecant over the domain -π<x<0 and 0<x<π. 

x1 = -pi+0.01:0.01:-0.01;
x2 = 0.01:0.01:pi-0.01;
y1 = csch(x1);
y2 = csch(x2);
plot(x1,y1,x2,y2)
grid on

Input Arguments

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Input angles in radians, specified as a scalar, vector, matrix, or multidimensional array.

Data Types: single | double
Complex Number Support: Yes

More About

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Hyperbolic Cosecant

The hyperbolic cosecant of x is equal to the inverse of the hyperbolic sine

csch(x)=1sinh(x)=2ex−e−x.

In terms of the traditional cosecant function with a complex argument, the identity is

csch(x)=icsc(ix) .

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.

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

See Also

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Introduced before R2006a

MATLAB Documentation

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