Range of $f (x) = \frac{t a n (π [x^{2} - x])}{1 + s i n (c o s x)}$ is where $[x]$ denotes the greatest integer function

$(- \infty, \infty) \sim [0, t a n 1]$

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$(- \infty, \infty) \sim [t a n 2, 0)$

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$[t a n 2, t a n 1]$

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${0}$

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Solution

The correct option is D
${0}$

$f (x) = \frac{t a n (π [x^{2} - x])}{1 + s i n (c o s x)} = {0} because of [x^{2} - x] i s integer .$

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