The number of points of discontinuity of f(x) where f(x)=∣∣∣∣∣|x+[x]|−3[x]∣∣−5[x]∣∣∣ on [−2,2] is (where [x] denotes greatest integer function)
Let f(x)=[cos x+sin x], 0<x<2π, where [x] denotes the greatest integer less than of equal to x. The number of points of discontinuity of f(x) is