FunctionHard
Question
Let f(x) = sin 
x (where [ ] denotes the greatest integer function). If f is periodic with fundamental period π, then a belongs to -
x (where [ ] denotes the greatest integer function). If f is periodic with fundamental period π, then a belongs to -Options
A.[2, 3)
B.{4, 5}
C.[4, 5]
D.[4, 5)
Solution
f(x) = sin 
x
period of sin x = 2π
⇒ period of f(x) =
= π
⇒
= 2 ⇒ [a] = 4 ⇒ a ∈ [4, 5)
xperiod of sin x = 2π
⇒ period of f(x) =
= π⇒
= 2 ⇒ [a] = 4 ⇒ a ∈ [4, 5)Create a free account to view solution
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