Range of $f(x)=\frac{\tan(π[x^2-x])}{1+\sin(\cos x)}$ is (where [.] denotes the greatest integer function)

$(−∞, ∞) ~ [0, \tan 1]$ $(−∞, ∞) ~ [\tan 2, 0]$ $[\tan 2, \tan 1]$ none of these

none of these

Domain of f(x) is all real numbers and $f (x) = 0 ∀ x∈ R$ as $\tan(nπ) = 0$