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acsch

Inverse hyperbolic cosecant

Syntax

Y = acsch(X)

Description

Y = acsch(X) returns the inverse hyperbolic cosecant for each element of X.

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

Examples

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Graph the inverse hyperbolic cosecant function over the domains $-20 \le x \le -1$ and $1 \le x \le 20$.

x1 = -20:0.01:-1;
x2 = 1:0.01:20;
plot(x1,acsch(x1),x2,acsch(x2))
grid on
xlabel('x')
ylabel('y')

More About

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Inverse Hyperbolic Cosecant

For real values x in the domain x<0 and x>0, the inverse hyperbolic cosecant satisfies

csch1(z)=sinh1(1z)=log(1x+1x2+1).

For complex numbers z=x+iy, the call acsch(z) returns complex results.

Tall Array Support

This function fully supports tall arrays. For more information, see Tall Arrays.

See Also

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Introduced before R2006a


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