Range of f ( x ) = t a n ( π [ x 2 − x ] ) 1 + s i n ( c o s x ) is where [ x ] denotes the greatest integer function Options: A . &nbsp(−∞,∞)∼[0,tan1] B . &nbsp(−∞,∞)∼[tan2,0) C . &nbsp[tan2,tan1] D . &nbsp{0}

Answer: Option D : D f ( x ) = t a n ( π [ x 2 − x ] ) 1 + s i n ( c o s x ) = { 0 } because of [ x 2 − x ] i s integer .

Range of f(x)=tan(π[x2−x])1+sin(cosx) is where [x] denotes the grea

Question

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

Options:

A . (−∞,∞)∼[0,tan1]

B . (−∞,∞)∼[tan2,0)

C . [tan2,tan1]

D . {0}

Answer: Option D
:
D

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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