FunctionHard
Question
If f (x) = sin (
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)
Period =
[a] = 4 ⇒ a ∈ [4, 5)
Create a free account to view solution
View Solution FreeMore Function Questions
If f be the greatest integer function and g be the modulus function, then (gof)− (fog) =...If f : R → R is a function defined by f(x) = [x] cos , where [x] denotes the greatest integer function, then f is ...Let $\lbrack t\rbrack$ denote the greatest integer less than or equal to $t$. If the function$$f(x) = \left\{ \begin{mat...If x is the radius of a circle and f(x) = πx2, then domain of f is -...Domain of the function f(x) = sin-1 is -...