MATLAB Function Reference Volume 1: A - E - Bad Request

acsc, acsch
2acsc, acsch
Purpose Inverse cosecant and inverse hyperbolic cosecant
Syntax Y = acsc(X)
Y = acsch(X)
Description The acsc and acsch functions operate element-wise on arrays. The functions’
domains and ranges include complex values. All angles are in radians.
2-32
Y = acsc(X) returns the inverse cosecant (arccosecant) for each element of X.
Y = acsch(X) returns the inverse hyperbolic cosecant for each element of X.
Examples Graph the inverse cosecant over the domains – 10 ≤ x < – 1 and 1 < x ≤ 10, and
the inverse hyperbolic cosecant over the domains – 20 ≤ x ≤ – 1 and 1 ≤ x ≤ 20.
y=acsc(x)
1.5
1
0.5
0
-0.5
-1
x1 = -10:0.01:-1.01; x2 = 1.01:0.01:10;
plot(x1,acsc(x1),x2,acsc(x2))
x1 = -20:0.01:-1; x2 = 1:0.01:20;
plot(x1,acsch(x1),x2,acsch(x2))
-1.5
-10 -8 -6 -4 -2 0
x1,x2
2 4 6 8 10
Algorithm acsc and acsch use these algorithms.
csc ( z)
1 –
=
csch ( z)
1 –
=
1
sin ⎛ -- ⎞
⎝ z ⎠
1 –
1
sinh ⎛--⎞ ⎝z⎠ 1 –
y=acsch(x)
1
0.8
0.6
0.4
0.2
0
-0.2
-0.4
-0.6
-0.8
-1
-20 -15 -10 -5 0
x1,x2
5 10 15 20