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cot-diff

diff((2/(8+8^(-8*x^(3...

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cot-plot3d
plot3d([cot(x^2-y^2),[x,-3,3],[y,-3,3]]);

plot3d([cot(x^2-y^2),...

Calculate

cot-residue-tanh

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

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

tanh(%i*%pi);

Calculate

cot-plot2d
plot2d(3*cot(x/6)+9,[x,-1,1],[nticks,200]);

plot2d(3*cot(x/6)+9,[...

Calculate

cot-trigsimp

trigsimp(arctan(cot(x...

Calculate

cot-csc-sec-solve-tan

solve(2-sec(x)^2=a*ta...

solve(2-csc(x)^2=b*c...

Calculate

cot-matrix

a0 : 600.0;

f : 500;

l8 : 0.02;

Calculate

cot-residue-sin

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

residue (sin(a*x)/x*...

residue (cot(pi*x)/(...

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cot-residue

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

Calculate

cot-residue

residue ((z-a*e**(7*p...

residue ((z-a*e**(5*...

residue ((z-a*e**(3*...

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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