Range of the function f defined by f(x)=1sin{x} (where [.] and {.} respectively denote the greatest integer and the fractional part functions) is
Z, the set of integers
N, the set of natural numbers
W, the set of whole numbers
{2, 3, 4, ...}
∵{x} ∈ [0, 1)∴sin {x} ∈ [0, sin 1) but f (x) is defined if sin {x} ≠ 0∴1sin{x}∈1sin1,∞.∴1sin{x}∈{1,2,3…...}.