→ (p, r, s), → (p, r, s), → (q, r, s), → (r, s)

Sol. Consider the graph of 2 cos x in (– π , π ). 2 cos x is integer at 9 points.

[2 cos x] is discontinuous at 7 points in (– π , π )

Similarly from graph of 2sinx, we can observe that [2 sin x] is discontinuous at 7 points

(continuous at – π /2, π )

[2 tan x/2] is discontinuous at 4 points (continuous at – π /2)

[3 cosec x/3] is discontinuous at 4 points (continuous at π /2)

y = [2 cos x] y = [2 sin x]

y = [2 tan x/2] y = [3 cosec x/3]

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