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csc-integrate

integrate(csc(x)^2,x);

Calculate

csc-plot2d-sin
plot2d([parametric,sin(x),csc(x),[x,0,%pi/2]]);

plot2d([parametric,si...

Calculate

csc-plot2d
plot2d(csc(x),[x,-4,4]);

plot2d(csc(x),[x,-4,4]);

Calculate

csc-plot2d
plot2d(csc(x),[x,0,5]);

plot2d(csc(x),[x,0,5]);

Calculate

csc-plot2d
plot2d(csc(x),[x,0,5]);

plot2d(csc(x),[x,0,5]);

Calculate

csc-integrate

integrate((csc(x)^2),x);

Calculate

csc-tan

csc(10*%pi+x);

tan(2*%pi-x);

Calculate

csc-plot3d
plot3d([csc(x^2+y^2),[x,-3,3],[y,-3,3]]);

plot3d([csc(x^2+y^2),...

Calculate

csc-tan

csc(10*%pi+x);

tan(54*%pi+x);

Calculate

csc

Run Example
(%i1)z(x):=((sec(x)^2+sin(x)^2-tan(x)^2)^2-cos(x)^4)/((csc(x)^2+cos(x)^2-cot(x)^2)^2-sin(x)^4);
                           2         2         2    2      4
                       (sec (x) + sin (x) - tan (x))  - cos (x)
(%o1)          z(x) := ----------------------------------------
                           2         2         2    2      4
                       (csc (x) + cos (x) - cot (x))  - sin (x)
(%i2) z(%pi/6);
                                       1
(%o2)                                  -
                                       3
(%i3) 
Run Example
integrate((csc(x)*cot(x)),x);
                                       1
(%o1)                              - ------
                                     sin(x)
(%i2) 
Run Example
hessian (x+2*y*csc(z)+L(-y/2*(2*x+(2*y)/tan(z))), [x, y, z]);
               [               2 y             ]
               [   2       y (------ + 2 x)    ]
               [  d           tan(z)           ]
               [  --- (L(- ----------------))  ]
               [    2             2            ]
               [  dx                           ]
               [                               ]
               [                2 y            ]
(%o1)  Col 1 = [   2        y (------ + 2 x)   ]
               [  d            tan(z)          ]
               [ ----- (L(- ----------------)) ]
               [ dx dy             2           ]
               [                               ]
               [                2 y            ]
               [   2        y (------ + 2 x)   ]
               [  d            tan(z)          ]
               [ ----- (L(- ----------------)) ]
               [ dx dz             2           ]
         [                         2 y                     ]
         [            2        y (------ + 2 x)            ]
         [           d            tan(z)                   ]
         [          ----- (L(- ----------------))          ]
         [          dx dy             2                    ]
         [                                                 ]
         [                        2 y                      ]
         [            2       y (------ + 2 x)             ]
 Col 2 = [           d           tan(z)                    ]
         [           --- (L(- ----------------))           ]
         [             2             2                     ]
         [           dy                                    ]
         [                                                 ]
         [                2 y                              ]
         [   2        y (------ + 2 x)                     ]
         [  d            tan(z)                            ]
         [ ----- (L(- ----------------)) - 2 cot(z) csc(z) ]
         [ dy dz             2                             ]
         [                                2 y                             ]
         [                   2        y (------ + 2 x)                    ]
         [                  d            tan(z)                           ]
         [                 ----- (L(- ----------------))                  ]
         [                 dx dz             2                            ]
         [                                                                ]
         [                       2 y                                      ]
         [          2        y (------ + 2 x)                             ]
 Col 3 = [         d            tan(z)                                    ]
         [        ----- (L(- ----------------)) - 2 cot(z) csc(z)         ]
         [        dy dz             2                                     ]
         [                                                                ]
         [              2 y                                               ]
         [  2       y (------ + 2 x)                                      ]
         [ d           tan(z)                   3             2           ]
         [ --- (L(- ----------------)) + 2 y csc (z) + 2 y cot (z) csc(z) ]
         [   2             2                                              ]
         [ dz                                                             ]
(%i2)  depends (F, [a, b,c]);
(%o2)                            [F(a, b, c)]
(%i3)  hessian (F, [a, b,c]);
                            [   2      2      2   ]
                            [  d F    d F    d F  ]
                            [  ---   -----  ----- ]
                            [    2   da db  da dc ]
                            [  da                 ]
                            [                     ]
                            [   2      2      2   ]
                            [  d F    d F    d F  ]
(%o3)                       [ -----   ---   ----- ]
                            [ da db     2   db dc ]
                            [         db          ]
                            [                     ]
                            [   2      2      2   ]
                            [  d F    d F    d F  ]
                            [ -----  -----   ---  ]
                            [ da dc  db dc     2  ]
                            [                dc   ]
(%i4) 

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