Range of f(x) =[|sinx| +|cosx|} where [.] denotes the greatest integer function is

1. {1} b) {0,1} c{0} d) none of these kindly explain to me

Range of |sinx| is [0,1] and |cosx| is [0,1] for all x belongs to R.
So the range of f(x) is also [0,1] as sin0 =! cos0.
So [|sinx| + |cosx|] = 1 as per the definition of greatest integer function.