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atan-float-sqrt-sum

float(-2*%pi+sum (ata...

Calculate

atan-plot3d-sqrt
plot3d(x*atan(x^2/(y*sqrt(x*y))),[x, -50, 50], [y, -50, 50], [grid,25,25]);

plot3d(x*atan(x^2/(y*...

Calculate

atan-solve-sqrt

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

eq2:m=3;

eq3:n=L/R;

Calculate

atan-float-pi-sqrt-sum

float(2*%pi);

sum(atan(1.0/sqrt(i))...

sum(atan(1.0/sqrt(i))...

Calculate

atan-taylor

f(x) := atan(x);

taylor(f(x),x,0, 3);

Calculate

atan-plot2d-sqrt
plot2d([sqrt(25-x^2),atan(2*x)],[x,-6,2],[y,-2,2]);

plot2d([sqrt(25-x^2),...

Calculate

atan-diff-plot2d-solve
plot2d([f,df],[x,-2,4]);

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

df:diff(f,x);

solve(df=0,x);

Calculate

atan-plot2d
plot2d([1/(1+x^2),atan(x)],[x,-2,2]);

plot2d([1/(1+x^2),ata...

Calculate

atan-plot2d-taylor
plot2d([taylor(atan(x),x,0,12),atan(x)],[x,-5,5],[y,-1.5,1.5]);

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

plot2d([taylor(atan(x...

Calculate

atan-cos-float-sin-solve-sqrt-subst

eq0:D=sqrt(x^2+y^2);

eq1:D^2=R^2+X^2+2*R*X...

sol1:solve(eq1,X);

Calculate

atan

Run Example
(%i1)qe:1.6E-19;
(%o1)                       1.5999999999999999E-19
(%i2) E:1E+4;
(%o2)                               10000.0
(%i3) me:1.67E-27;
(%o3)                       1.6700000000000002E-27
(%i4) d:0.04;
(%o4)                                0.04
(%i5) D:0.10;
(%o5)                                 0.1
(%i6) vox:2.8E+7;
(%o6)                               2.8E+7
(%i7) a:qe*E/me;
(%o7)                       9.5808383233532922E+11
(%i8) t:d/vox;
(%o8)                        1.4285714285714286E-9
(%i9) y:0.5*a*(d/vox)^2;
(%o9)                        9.7763656360747883E-7
(%i10) vx:vox;
(%o10)                              2.8E+7
(%i11) vy:a*d/vox;
(%o11)                         1368.69118905047
(%i12) phi:atan(vy/vx)*180/3.141592654;
(%o12)                        0.0028007224470227
(%i13) h:D*vy/vx;
(%o13)                       4.8881828180373942E-6
(%i14) H:y+h;
(%o14)                       5.865819381644873E-6
(%i15) 
Run Example
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) 

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