Question

( f(x)=cos |x|+left[left|frac{sin x}{2}right|right] )
( therefore f(-x)=cos |-x|+left.[sin (-x)]_{2}right|_{-f(-x)=f(x)} mid=f(x) )
( f(-x)=cos |x|+left[left|frac{sin x}{2}right|right]=f(x) )
( therefore quad: f(-x) ) is even ( (A) ) even.

# (W If f(x) = cos x + here [.] denotes the greatest integer function), then f(x) is (A) even (B) odd (C) even and odd simultaneously (D) none of these

Solution