Question

If [sin x] + [cos x] + 2 = 0, then range of f(x) = sin x − cos x + 3 corresponding to the solution set of the given equation is (where [.] denotes the greatest integer function)

(A)  [2, 4) 

(B)  (2, 4) 

(C)  (2, 4] 

(D)  None of these

Answer 1

Correct option (B) (2, 4)

[sin x] + [cos x] + 2 = 0 is possible only when

[sin x] = – 1 and [cos x] = –1