# acsc

## Syntax

• ``Y = acsc(X)``
example

## 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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### Inverse Cosecant of a Value

`acsc(3)`
```ans = 0.3398```

### Inverse Cosecant of a Vector of Complex Angles

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

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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### `X` — Numeric inputnumber | vector | matrix | multidimensional array

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

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