acsch

Inverse hyperbolic cosecant

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Syntax

Y = acsch(X)

Description

example

Y = acsch(X) returns the inverse hyperbolic cosecant of the elements of X. The function accepts both real and complex inputs. All angles are in radians.

Examples

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Open Live Script

Find the inverse hyperbolic cosecant of the elements of vector X. The acsch function acts on X element-wise.

X = [2 -3 1+2i];
Y = acsch(X)
Y = 1×3 complex

   0.4812 + 0.0000i  -0.3275 + 0.0000i   0.2156 - 0.4016i
Open Live Script

Plot the inverse hyperbolic cosecant function over the intervals -20≤x≤-1 and 1≤x≤20.

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

Input Arguments

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Hyperbolic cosecant of angle, specified as a scalar, vector, matrix, or multidimensional array. The acsch operation is element-wise when X is nonscalar.

Data Types: single | double
Complex Number Support: Yes

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

csch−1(z)=sinh−1(1z)=log(1x+1x2+1).

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

Extended Capabilities

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

See Also

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Introduced before R2006a

MATLAB Documentation

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