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# csch

Hyperbolic cosecant

Y = csch(x)

## Description

The csch function operates element-wise on arrays. The function's domains and ranges include complex values. All angles are in radians.

Y = csch(x) returns the hyperbolic cosecant for each element of x.

## Examples

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### Graph of Hyperbolic Cosecant

Plot the hyperbolic cosecant over the domain and

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


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### Hyperbolic Cosecant

The hyperbolic cosecant of z is

$\text{csch}\left(z\right)=\frac{1}{\mathrm{sinh}\left(z\right)}.$