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atan-diff-plot2d-solve
plot2d([f], [x,0,10]);

f: ((atan(x)+(1-x))/(...

df1: diff(f,x);

solve(df1=0,x);

Calculate

atan-diff-ev-rhs-solve

f : atan(x) + (1-x)/(...

df : diff(f,x);

d2f : diff(f,x,2);

Calculate

atan-exp-plot2d-print-sin

/*Autor: Isidro Gonzá...

h: 0.15 ;

print("h=",h,"m") ;

Calculate

atan-plot3d
plot3d(atan(-x^2+y^3/4),[x,-4,4],[y,-4,4],[grid,50,50],[gnuplot_pm3d,true]);

plot3d(atan(-x^2+y^3/...

Calculate

atan-subst-tan-trigexpand

f:tan(2*u-v);

f:trigewpand(f);

f:subst(u=2*w,f);

Calculate

atan-cos-matrix-sin

th: atan(.065/17.889);

rot1: matrix([cos(th)...

Calculate

atan-cos-matrix-sin

th: atan(.065/17.889);

rot1: matrix([cos(th)...

v1: matrix([-17.889],...

Calculate

atan-diff-solve

f: atan(x)+(1-x)/(1+x...

df: diff(f,x);

solve(df=0,x);

Calculate

atan-plot3d
plot3d(atan(-x^2+y^3/4),[x,-4,4],[y,-4,4],[grid,50,50],[gnuplot_pm3d,true]);

plot3d(atan(-x^2+y^3/...

Calculate

atan-diff

diff(atan(x),x);

Calculate

atan

Run Example
(%i1)rt:tan(atan(1/2)+atan(1/3))=1;
                                   1         1
(%o1)                     tan(atan(-) + atan(-)) = 1
                                   2         3
(%i2) trigsimp(lhs(rt));
                                     1         1
                            sin(atan(-) + atan(-))
                                     2         3
(%o2)                       ----------------------
                                     1         1
                            cos(atan(-) + atan(-))
                                     2         3
(%i3)  logarc(lhs(rt));
                    %i                %i             %i                %i
            %i (log(-- + 1) - log(1 - --))   %i (log(-- + 1) - log(1 - --))
                    2                 2              3                 3
(%o3) - tan(------------------------------ + ------------------------------)
                          2                                2
(%i4) ratsimp(%);
(%o4)             
Run Example
th: atan(.113/114.014);
(%o1)                        9.9110603084150823E-4
(%i2) rot1: matrix([cos(th),-sin(th)],[sin(th),cos(th)]);
              [   0.99999950885446     - 9.9110586858239995E-4 ]
(%o2)         [                                                ]
              [ 9.9110586858239995E-4     0.99999950885446     ]
(%i3) v1: matrix([-17.889],[-.065]);
                                 [ - 17.889 ]
(%o3)                            [          ]
                                 [ - 0.065  ]
(%i4) v2: matrix([-18.013],[13.957]);
                                 [ - 18.013 ]
(%o4)                            [          ]
                                 [  13.957  ]
(%i5) v3: matrix([-.113],[14.014]);
                                  [ - 0.113 ]
(%o5)                             [         ]
                                  [ 14.014  ]
(%i6) v1p: rot1.v1;
                            [ - 17.88892679201594 ]
(%o6)                       [                     ]
                            [ - 0.08272986095861  ]
(%i7) v2p: rot1.v2;
                            [ - 18.02682401760316 ]
(%o7)                       [                     ]
                            [  13.9391403550709   ]
(%i8) v3p: rot1.v3;
                            [ - 0.12688930214287 ]
(%o8)                       [                    ]
                            [ 14.01388112212322  ]
(%i9) 
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) 

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