Period of `f(x) = sin 3x cos[3x]-cos 3x sin [3x]` (where[] denotes the greatest integer function), is

Period of f(x)=sin3x cos[3x]-cos3x sin[3x] (wherell denotes the greatest integer function),is

Period of the function f(x) =(1)/(3){sin 3x + |sin 3x | + [sin 3x]} is (where [.] denotes the greatest integer function )

The number of solutions of [sin x+ cos x]=3+ [- sin x]+[-cos x] (where [.] denotes the greatest integer function), x in [0, 2pi] , is

If f(x)=e^(sin(x-[x])cospix) , where [x] denotes the greatest integer function, then f(x) is

If f(x)=cos|x|+[|(sin x)/(2)|], ,(where [.] denotes the greatest integer function),then f(x) is

The period of the function f(x)=sin(x+3-[x+3]) where [] denotes the greatest integer function

If [2cos x]+[sin x]=-3, then the range of the function,f(x)=sin x+sqrt(3)cos x in [0,2 pi] (where [1 denotes greatest integer function)

Find the period of the following functions if they are periodic: f(x)=4sin x;g(x)=sin4x+5;h(x)=cos x+x-[x] ,where [.] denotes the greatest integer function

The number of integers in the range of function f(x)=[sin x]+[cos x]+[sin x+cos x] is (where [.]= denotes greatest integer function)

The value of int_(0)^(2pi)[sin 2x(1+cos 3x)]dx , where [t] denotes the greatest integer function, is: