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cot-exponentialize-tan

f:tan(cot(1/2)+cot(1/...

epfc:exponentialize(f);

Calculate

cot

ao : 600.0;

l8 : 0.02;

S8 : %Pi() * 0.0225;

Calculate

cot-integrate

integrate(cot(11*x)^2...

Calculate

cot-halfangles-trigexpand-true

halfangles:true;

cot(z), trigexpand;

Calculate

cot-tan

eq1:1=tan(cot(1/2)+co...

Calculate

cot-tan-trigexpand-trigreduce

f1:trigexpand(tan(2*x));

f2:trigreduce(f1),exp...

g1:trigexpand(cot(2*x));

Calculate

cot-tan

f:tan(a+b);

a:cot(1/2);

Calculate

cot-residue-tanh

residue ((%pi*cot(%pi...

residue ((pi*cot(pi*...

tanh(%i*%pi);

Calculate

cot-coth-residue

residue (s/(s**2+a**2...

residue ((%pi*cot(%p...

cot(%pi/4);

Calculate

cot-matrix

a0 : 600.0;

f : 500;

l9 : 0.02;

Calculate

cot

Run Example
(%i1)integrate((2*10/PI*atan(cot(PI*50*t)))^2,t,0,10);
                                                                         2
                  2 cos(500 PI)                 cos(500 PI)    2500000 PI
      400 (10 atan (-----------) + 5000 PI atan(-----------) + -----------)
                    sin(500 PI)                 sin(500 PI)         3
(%o1) ---------------------------------------------------------------------
                                         2
                                       PI
(%i2) 
Run Example
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
plot2d([sin(t),cos(t),tan(t),cot(t)],[t,-2*%pi,2*%pi]);
plotplot2d([sin(t),cos(t),tan(t),cot(t)],[t,-2*%pi,2*%pi]);
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