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cot-pi-sin-subst

subst(cot(x)=cot(x-n*...

subst(cot(x)=cot(x-n*...

subst(cot(x)=cot(x-n*...

Calculate

cot-diff-trigsimp

f: cot(x - (%pi/2));

diff(f, x, 1);

trigsimp(%);

Calculate

cot-inf-limit-tan

eq1:(tan(%pi/4-x))^(c...

limit(eq1,x,inf);

Calculate

cot-matrix

a0 : 600.0;

f : 500;

l8 : 0.02;

Calculate

cot-residue

residue(cot(pi*z)/z^2...

Calculate

cot-plot3d-sin
plot3d(f(x,y), [x,-5,5], [y,-5,5]);

f(x,y):= cot(y) + sin...

plot3d(f(x,y), [x,-5,...

Calculate

cot-taylor

taylor(cot(x),x,0,5);

Calculate

cot-diff

diff(cot((x/(x-y))^(1...

Calculate

cot

1+cot(t/2);

Calculate

cot-residue

residue (cot(z), z, 5);

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
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) 
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