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atan-cos-matrix-sin

th: atan(.065/17.889);

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

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

Calculate

atan-solve

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

solve(f=0,x);

Calculate

atan-plot3d
plot3d(f(x,y),[x,-400,400],[y,-400,400]);

f(x,y):= atan(y/x);

plot3d(f(x,y),[x,-400...

Calculate

atan-subst-tan-trigexpand

f:tan(u+v);

f:trigexpand(f);

f:subst(u=w,f);

Calculate

atan-tan-trigexpand

f:tan(u+v);

ef:trigexpand(f);

sef:subat([u=atan(1/2...

Calculate

atan-diff

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

df:diff(f,x);

df2:diff(f,x,2);

Calculate

atan-tan

f:tan(atan(1/2)+atan(...

Calculate

atan-diff-float-pi

/**gleda se sljedeci ...

y_vrh: -2;

y1: 3*(x-1)/2 -2;

Calculate

atan-cos-expand

expand(cos(2*pi/3)-at...

Calculate

atan-pade-taylor

pade (taylor (atan (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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