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atan-integrate

integrate:atan(x)/2*(...

Calculate

atan-beta-diff-ev-gamma-rat

r1: 3;

r2:-1;

f1_up:(-r1*r2*x+(r1-1...

Calculate

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

f:atan(x)+(1-x)/(1+x^2);

plot2d(f,[x,-10,10]);

df:diff(f,x);

Calculate

atan-logarc-rhs-tan-trigsimp

mf:1=tan(atan(1/2)+at...

trigsimp(rhs(mf));

logarc(rhs(mf));

Calculate

atan-diff

courbe:9*atan(x/7);

derivee_courbe:diff(c...

Calculate

atan-cos-matrix-sin

th: atan(-.113/14.014);

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

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

Calculate

atan-plot2d-taylor
plot2d([%o1,atan(x)],[x,-5,5],[y,-1.5,1.5]);

taylor(atan(x),x,0,4);

plot2d([%o1,atan(x)],...

Calculate

atan-solve-sqrt

eq1:1/(%pi*n)*atan(m/...

eq2:m=3;

eq3:n=L/R;

Calculate

atan-plot3d
plot3d(atan(y/x),[x,-2,2],[y,-2,2]);

plot3d(atan(y/x),[x,-...

Calculate

atan-beta-diff-ev-gamma-rat

r1: 3;

r2: 4;

f1_up:(-r1*r2*x+(r1-1...

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
qe:1.60E-19;
(%o1)                       1.5999999999999999E-19
(%i2) me:9.11E-31;
(%o2)                       9.1100000000000003E-31
(%i3) E:2.50E+3;
(%o3)                               2500.0
(%i4) y:-0.02;
(%o4)                               - 0.02
(%i5) vo:4E+6;
(%o5)                              4000000.0
(%i6) a:-qe*E/me;
(%o6)                      - 4.3907793633369919E+14
(%i7) t:sqrt(2*y/a);
(%o7)                        9.5446319991920073E-9
(%i8) x:vo*t;
(%o8)                          0.038178527996768
(%i9) vy:a*t;
(%o9)                         - 4190837.321269816
(%i10) vx:vo;
(%o10)                             4000000.0
(%i11) %pi,numb;
(%o11)                                %pi
(%i12) ang:atan(vy/vx)*180/%pi,number;
                                145.5647088876376
(%o12)                        - -----------------
                                       %pi
(%i13) 

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