Accelerating the pace of engineering and science

acsc

Inverse cosecant in radians

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

expand all

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

expand all

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

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