The number of solutions of the equation $$y+y=2cosx$$, where $$y=13$$[$$sinx+$$[$$sinx+sinx$$]]] (where$$ [.] denotes the greatest integer $$function) is

Question

The number of solutions of the equation $$y+y=2cosx$$, where $$y=13$$[$$sinx+$$[$$sinx+sinx$$]]] (where$$ [.] denotes the greatest integer  $$function) is

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$$y+y=2cosxor$$   $$y+y=2cosx$$                 $$x+n=x+n$$  if  n∈Ior   $$2y=2cosx$$   or  $$y=cosx$$                (1)Also$$,  $$y=13sinx+sinx+sinx$$              $$=133sinx$$              $$=sinx$$                                                                    $$2From$$ $$(l) and (2),              $$sin$$$$=cosxor$$         $$sinx=cosxThe$$ number of solutions is $$0$$.

The number of solutions of the equation y+y=2cosx, where y=13[sinx+[sinx+sinx]]] (where [.] denotes the greatest integer function) is

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