Question

Period of the function f(x) = sin 3π{x} + tan π [x] where [.] and {.} denote the integral part and fractional part respectively, is given by – 

 (A) 1 

(B) 2 

(C) 3 

(D) π

Answer 1

Correct option (A) 1

Explanation: 

∴ tan π [x] = 0 ∀ x ∈ R since [x] ∈ Z 

 Period of {x} = 1 

⇒ Period of sin 3π{x} = 1 

 Hence period of f(x) = 1