# Documentation

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# acsc

## Description

example

Y = acsc(X) returns the Inverse Cosecant (csc-1) of the elements of X. The acsc function operates element-wise on arrays. For real elements of X in intervals [-Inf,-1] and [1,Inf], acsc returns real values in the interval [-pi/2,pi/2]. For real values of X in the interval [-1,1] and for complex values of X, acsc returns complex values. All angles are in radians.

## Examples

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acsc(3)
ans =

0.3398

Find the inverse cosecant of the elements of vector x. The acsc function acts on x element-wise.

x = [0.5i 1+3i -2.2+i];
Y = acsc(x)
Y =

0.0000 - 1.4436i   0.0959 - 0.2970i  -0.3795 - 0.1833i

Plot the inverse cosecant function over the intervals and .

x1 = -10:0.01:-1.01;
x2 = 1.01:0.01:10;
plot(x1,acsc(x1),'b')
hold on
plot(x2,acsc(x2),'b')
grid on

## Input Arguments

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Numeric input, specified as a number, vector, matrix, or multidimensional array.

Data Types: single | double
Complex Number Support: Yes

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### Inverse Cosecant

The inverse cosecant is defined as

${\mathrm{csc}}^{-1}\left(z\right)={\mathrm{sin}}^{-1}\left(\frac{1}{z}\right).$

### Tall Array Support

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