### Related

##### acot-taylor

f(x) := acot(1/x);

taylor(f(x),x,0, 3);

Calculate

L: 2.3;

m: 14;

mu_s: 0.54;

Calculate

##### acot-inf-limit

limit(acot(x),x,-inf);

Calculate

acot(-1);

Calculate

acot(-10);

Calculate

##### acot-atan-plot2d-sqrt

c: sqrt(1-E^2);

acot: (%pi/2)- atan(c...

eigen: -1+(2-E^2)*( (...

Calculate

##### acot-plot2d

plot2d(acot(x), [x, -...

Calculate

L: 2.3;

m: 14;

mu_s: 0.54;

Calculate

##### acot-atan-plot2d-sqrt

c: sqrt(1-E^2);

acot: (%pi/2)- atan(c...

eigen: -1+(2-E^2)*( (...

Calculate

##### acot-plot2d

plot2d([acot(x)], [x,...

Calculate

### acot

Run Example
```(%i1)sin((%pi)/6);
1
(%o1)                                  -
2
(%i2) cos((%pi)/6);
sqrt(3)
(%o2)                               -------
2
(%i3) tan((%pi)/6);
1
(%o3)                               -------
sqrt(3)
(%i4) sec((%pi)/6);
2
(%o4)                               -------
sqrt(3)
(%i5) cot((%pi)/6);
(%o5)                               sqrt(3)
(%i6) asin((%pi)/6);
%pi
(%o6)                              asin(---)
6
(%i7) acos((%pi)/6);
%pi
(%o7)                              acos(---)
6
(%i8) atan((%pi)/6);
%pi
(%o8)                              atan(---)
6
(%i9) asec((%pi)/6);
%pi
(%o9)                              asec(---)
6
(%i10) acot((%pi)/6);
%pi
(%o10)                             acot(---)
6
(%i11) ```
Run Example
```limit((acot(8*x))/(2*x),x,0);
(%o1)                                 inf
(%i2) ```
Run Example
```c: sqrt(1-E^2);
2
(%o1)                            sqrt(1 - E )
(%i2) acot: (%pi/2)- atan(c/E);
2
%pi        sqrt(1 - E )
(%o2)                      --- - atan(------------)
2              E
(%i3) eigen: -1+(2-E^2)*( (1/E^4)*(3-E^2) - (3*c/E^5)*acot );
2
2   %pi        sqrt(1 - E )
2   3 sqrt(1 - E ) (--- - atan(------------))
2   3 - E                     2              E
(%o3)  (2 - E ) (------ - -----------------------------------------) - 1
4                         5
E                         E
(%i4) asymp: 1 - (3/2)*%pi*c + 10*c^2;
2
3 %pi sqrt(1 - E )            2
(%o4)               - ------------------ + 10 (1 - E ) + 1
2
(%i5) plot2d(eigen, [E,0.885,0.890]);
plot```

Help for Acot