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Acot

Function: acot (<x>) - Arc Cotangent.

c: sqrt(1-E^2);
acot: (%pi/2)- atan(c/E);
eigen: -1+(2-E^2)*( (1/E^4)*(3-E^2) - (3*c/E^5)*acot );
asymp: 1 - (3/2)*%pi*c + 10*c^2;
plot2d([eigen, asymp], [E,0.9980,0.9999]);

There are also some inexact matches for acot. Try ?? acot to see them.

(%o1)                                true
(%i2) 

Related Examples

acot-taylor

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

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

Calculate

acot-atan-plot2d-sqrt
plot2d([eigen, asymp], [E,0.9998,0.9999]);

c: sqrt(1-E^2);

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

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

Calculate

acot-atan-plot2d-sqrt
plot2d([eigen, asymp], [E,0.9980,0.9999]);

c: sqrt(1-E^2);

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

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

Calculate

acot-atan-plot2d-sqrt
plot2d(eigen, [E,0.887,0.888]);

c: sqrt(1-E^2);

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

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

Calculate

acot-atan-plot2d-sqrt
plot2d(eigen,[E,0.1,10]);

c: sqrt(1-E^2);

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

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

Calculate

acot-atan-plot2d-sqrt
plot2d(eigen,[E,0.1,0.9999]);

c: sqrt(1-E^2);

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

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

Calculate