Question

The period of the function f(x) = 1/3(sin3x+|sin3x| + [sin3x]) where [·] denotes the greatest integer function

(a)  π/3

(b)   2π/3

(c)  4π//3

(d)  π

Answer 1

Correct option (b)   2π/3

Explanation :

We have

The period of sinx is 2π/3; the period of |sin³x| is π/3; the period of [sin3x] is 2 π/3 . Hence, the period of f(x) is 2π/3; .