# acsc

## Description

example

Y = acsc(X) returns the Inverse Cosecant (csc-1) of the elements of X in radians. The function accepts both real and complex inputs.

• For real values of X in the intervals [-∞, -1] and [1, ∞], acsc(X) returns real values in the interval [-π/2, π/2].

• For real values of X in the interval (-1, 1) and for complex values of X, acsc(X) returns complex values.

## Examples

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Find the inverse cosecant of a value.

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 = 1×3 complex

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

Plot the inverse cosecant function over the intervals $-10\le x<-1$ and $1.

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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Cosecant of angle, specified as a scalar, vector, matrix, multidimensional array, table, or timetable. The acsc operation is element-wise when X is nonscalar.

Data Types: single | double | table | timetable
Complex Number Support: Yes

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### Inverse Cosecant

The inverse cosecant is defined as

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

## Version History

Introduced in R2006a

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