Question

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

• A. (-∞, ∞) ~ [0, tan 1]
• B. (-∞, ∞) ~ [tan 2, 0)
• C. [tan 2, tan 1]
• D. None of these

Answer 1

Answer: (D)

None of these

Answer 2

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