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 , t a n 1 ] B . &nbsp ( − ∞ , ∞ ) ∼ [ t a n 2 , 0 ] C . &nbsp [ t a n 2 , t a n 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

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 .

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

B .

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

C .

[t a n 2, t a n 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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