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triginverses

? triginverses;

Calculate

triginverses

? triginverses;

Calculate

triginverses

Run Example
(%i1)? triginverses;

 -- Option variable: triginverses
     Default value: `true'

     `triginverses' controls the simplification of the composition of
     trigonometric and hyperbolic functions with their inverse
     functions.

     If `all', both e.g. `atan(tan(<x>))' and `tan(atan(<x>))' simplify
     to <x>.

     If `true', the `<arcfun>(<fun>(<x>))' simplification is turned off.

     If `false', both the `<arcfun>(<fun>(<x>))' and
     `<fun>(<arcfun>(<x>))' simplifications are turned off.


(%o1)                                true
(%i2) 
Run Example
kill(all);
(%o0)                                done
(%i1) f:cos((x+100)/r)=2*cos(x/r);
                                x + 100          x
(%o1)                       cos(-------) = 2 cos(-)
                                   r             r
(%i2) triginverses:all;
(%o2)                                 all
(%i3) solve(f,x);
                                          x + 100
                                      cos(-------)
                                 x           r
(%o3)                       [cos(-) = ------------]
                                 r         2
(%i4) 
Run Example
load(ntrig);
(%o1)        /usr/share/maxima/5.21.1/share/trigonometry/ntrig.mac
(%i2) describe(ntrig);

 -- Package: ntrig
     The `ntrig' package contains a set of simplification rules that are
     used to simplify trigonometric function whose arguments are of the
     form `<f>(<n> %pi/10)' where <f> is any of the functions `sin',
     `cos', `tan', `csc', `sec' and `cot'.


(%o2)                                true
(%i3) triginverses:false;
(%o3)                                false
(%i4) solve(sin(x), x);

solve: using arc-trig functions to get a solution.
Some solutions will be lost.
(%o4)                               [x = 0]
(%i5) 

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