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sec

Run Example
(%i1)sin((%pi)/6);
                                       1
(%o1)                                  -
                                       2
(%i2) cos((%pi)/6);
                                    sqrt(3)
(%o2)                               -------
                                       2
(%i3) tan((%pi)/6);
                                       1
(%o3)                               -------
                                    sqrt(3)
(%i4) sec((%pi)/6);
                                       2
(%o4)                               -------
                                    sqrt(3)
(%i5) cot((%pi)/6);
(%o5)                               sqrt(3)
(%i6) asin((%pi)/6);
                                        %pi
(%o6)                              asin(---)
                                         6
(%i7) acos((%pi)/6);
                                        %pi
(%o7)                              acos(---)
                                         6
(%i8) atan((%pi)/6);
                                        %pi
(%o8)                              atan(---)
                                         6
(%i9) asec((%pi)/6);
                                        %pi
(%o9)                              asec(---)
                                         6
(%i10) acot((%pi)/6);
                                        %pi
(%o10)                             acot(---)
                                         6
(%i11) 
Run Example
eq:diff(y, x) = (x * sec(y/x) + y)/x;
                                         y
                                   x sec(-) + y
                                         x
(%o1)                          0 = ------------
                                        x
(%i2) ode2(eq, y, x);
                                         y
                                   x sec(-) + y
                                         x
(%t2)                          0 = ------------
                                        x

                                     msg1

(%o2)                                false
(%i3) 
Run Example
trigsimp(diff((sec(x))/(1+sec(x)),x));
                                    sin(x)
(%o1)                       ----------------------
                               2
                            cos (x) + 2 cos(x) + 1
(%i2) diff((sec(x))/(1+sec(x)),x);
                                           2
                        sec(x) tan(x)   sec (x) tan(x)
(%o2)                   ------------- - --------------
                         sec(x) + 1                 2
                                        (sec(x) + 1)
(%i3) 
[abs,diff,log,sec] [acos,acot,asec,asin,atan,cos,cot,pi,sec,sin,tan] [asin,cos,integrate,sec,sqrt] [block,cos,cot,csc,declare,defrule,evfun,if,kill,lambda,length,map,sec,sin,subst,tan] [block,cos,cot,csc,declare,evfun,if,kill,lambda,length,map,sec,sin,subst,tan] [coeff,expand,plot2d,sec] [contour_plot,cos,diff,plot2d,sec,sin,sublis] [cos,cot,csc,diff,ev,plot2d,sec,sin,tan] [cos,cot,csc,diff,false,integrate,matrix,powerdisp,sec,sin,tan,transpose,trigexpand,true] [cos,cot,csc,diff,false,matrix,powerdisp,sec,sin,tan,transpose,trigexpand,true] [cos,cot,csc,diff,integrate,sec,sin,tan] [cos,cot,csc,diff,plot2d,sec,sin,tan] [cos,cot,csc,float,log,sec,sin,sqrt,tan] [cos,cot,csc,integrate,sec,sin,tan] [cos,cot,csc,sec,sin,tan] [cos,cot,plot2d,sec,sin,tan] [cos,cot,sec,sin,sqrt,tan] [cos,csc,factor,float,inf,limit,minf,niceindices,plot3d,powerdisp,powerseries,romberg,sec,sin,solve,trigexpand,trigsimp,true] [cos,csc,factor,float,powerdisp,sec,sin,solve,trigexpand,trigsimp,true] [cos,csc,plot3d,sec,sin] [cos,define,plot2d,sec,sin,tan] [cos,diff,ratsimp,sec,sin] [cos,diff,sec,sin,trigsimp] [cos,ev,inf,keepfloat,log,product,sec,sin,sqrt,taylor] [cos,float,integrate,plot2d,sec] [depends,hessian,sec,tan] [diff,ic2,ode2,plot2d,rhs,sec] [diff,ode2,sec] [diff,sec,sin] [diff,sec,solve] [diff,sec,trigsimp] [diff,sec] [expand,sec,sqrt] [float,integrate,plot2d,sec] [fortran,sec,tan,taylor] [integrate,sec,sin] [integrate,sec,sqrt,tan] [integrate,sec,tan] [integrate,sec,trigsimp] [integrate,sec] [plot2d,plot3d,sec] [plot2d,sec,sin] [plot2d,sec,solve] [plot2d,sec,sqrt,tan] [plot2d,sec,tan] [plot2d,sec] [residue,sec] [sec,sqrt,tan] [sec,tan] [sec]

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