Which of the following is/are correct

Options

A. The range of the followig `f(x)=cos(3sinx)` is `[-1,1]`
B. The period of `f(x)=(sinpi[x])/({x})` is 1
where [.] denotes greatest integer function and {.} denotes fractional part function
C. The range of `f(x)=(sin pi [x])/({x})` is singleton
(where [.] denotes greatest integer function and {.} denotes fractional part function)
D. Let `f:(e,oo)toR` is defined by `f(x)=log_(e)(log_(e)(log_(e)x))`, then`f(x)` is one-one and onto