acoth

Inverse hyperbolic cotangent

Usage

acoth(A)

• A should be an array, which can be real or complex.
• It returns an array containing the inverse hyperbolic cotangent (in radians) of each element of A.
• For real elements of A lying in $[-1,1]$, it returns complex numbers.
• The output has the same size as A.

Example

Input

acoth(x) returns a complex number when $-1\leq x\leq 1$ is real.

x = linspace(-1,1,10);
y = acoth(x)

Output

y = 
Columns 1 to 3:
-Inf    - 0.7854i  -1.0397 - 1.5708i  -0.6264 - 1.5708i
Columns 4 to 6:
-0.3466 - 1.5708i  -0.1116 - 1.5708i   0.1116 - 1.5708i
Columns 7 to 9:
 0.3466 - 1.5708i   0.6264 - 1.5708i   1.0397 - 1.5708i
Column 10:
 Inf    - 0.7854i

Input

x = linspace(-10,-1.1);
y = acoth(x);
plot(x,y,'-');
hold
x = linspace(1.1,10);
y = acoth(x);
plot(x,y,'-');
xlabel('x')
ylabel('acoth(x)')

Output