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cot-residue-tanh

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

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

tanh(%pi/4);

Calculate

cot

Residue (pi*cot(pi*z)...

Calculate

cot

ao : 600.0;

l8 : 0.02;

S8 : 3.14159265358979...

Calculate

cot-residue-tanh

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

Calculate

cot-pi

-1/398*cot(92/199*pi)...

Calculate

cot-diff-plot2d
plot2d(cot(x),[x, 0, 2*%pi], [y, -100, 100]);

plot2d(cot(x),[x, 0, ...

diff(cot(x),x);

Calculate

cot-kill-limit-pi-tan

kill(all);

k:(tan(((%pi)/4)-x))^...

limit(k,x,0);

Calculate

cot-ratsimp-sqrt-tan

ratsimp(((v*((cot(x))...

Calculate

cot-plot2d
plot2d([cot(x)-x^2],[x,0.5,1.5]);

plot2d([cot(x)-x^2],[...

Calculate

cot-coth-residue

residue (1/(s), s, 0);

residue ((Pi*cot(Pi*x...

Calculate

cot

Run Example
(%i1)Ett(upt,ur):=upt - ur/a;
                                                 ur
(%o1)                      Ett(upt, ur) := upt - --
                                                 a
(%i2) Epp(ut,ur):= 1/a * (ut * cot(t) - ur);
                                      1
(%o2)                  Epp(ut, ur) := - (ut cot(t) - ur)
                                      a
(%i3) L(upt,ur,ut) := Eh/(2*(1-nu^2)) * (Ett(upt,ur)^2 +Epp(ut,ur)^2 + 2 * nu1* Ett(upt,ur) * Epp(ut,ur) - Srr * ur);
                            Eh          2               2
(%o3) L(upt, ur, ut) := ----------- (Ett (upt, ur) + Epp (ut, ur)
                                 2
                        2 (1 - nu )
                                 + 2 nu1 Ett(upt, ur) Epp(ut, ur) + (- Srr) ur)
(%i4) 
Run Example
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
limit(2*x*cot(5*x)),x;
(%o1)                            2 x cot(5 x)
(%i2) 

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