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,tan 1] B . &nbsp(−∞,∞)∼[tan 2,0] C . &nbsp[tan 2,tan 1] 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 ] is integer

Range of f(x)=tan(π[x2−x])1+sin(cos x) is (where [x] denotes t

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,tan 1]

B . (−∞,∞)∼[tan 2,0]

C . [tan 2,tan 1]

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]

is integer

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