Question

Find the range of f(x) = [1 + sinx] + [cosx – 1] + [tan^–1x] where [,] = G.I.F.

Answer 1

Given f(x) = [1 + sinx] + [cos x – 1] + [tan^–1x]

= 1 + [sinx] + [cosx] – 1 + [tan^–1x]

= [sin x] + [cos x] + [tan^–1x]

Hence, the range of the function is

= {–1, 0, 1, 2}