Question
Question: Period of f(x) = sin3 π{x} + tan π[x], where [.] and {.} denote the greatest integer function and fr...
Period of f(x) = sin3 π{x} + tan π[x], where [.] and {.} denote the greatest integer function and fractional part respectively, is
A
1
B
2
C
3
D
None of these
Answer
1
Explanation
Solution
Clearly tan π[x] = 0 ∀ x ∈ R and period of sin 3π {x} is equal to 1.