FunctionHard
Question
If f (x) = sin (
x)(where [ . ] denotes the greatest integer function) has π as its fundamental period, then -
x)(where [ . ] denotes the greatest integer function) has π as its fundamental period, then -Options
A.a = 1
B.a = 9
C.a ∈ [1, 2)
D.a ∈ [4, 5)
Solution
f(x) = sin (x)
Period =
= π
[a] = 4 ⇒ a ∈ [4, 5)
x)Period =
= π[a] = 4 ⇒ a ∈ [4, 5)
Create a free account to view solution
View Solution FreeMore Function Questions
If f (x) = , then the value of f (x + 2) is-...Let f(x) = sin x (where [ ] denotes the greatest integer function). If f is periodic with fundamental period π, the...If [x2] + x = a has solution(s), a ∈ N, then ′a′ may be (where [.] denotes greatest integer function)-...If f (x) = log and g(x) =, then f[g(x)] is equal to-...The domain of function f(x) = log |log x| is-...