Range of `f(x) =[1+sinx]+[cosx-1]+[tan^(- 1)x]` `AA x in [0,2pi]` where [] denotes the greatest integer function is

The range of f(x) = [ sin x+ [ tan x+ [secx ]]] , x in (0, (pi )/(4)) where [.] denotes greatest integer function is

The range of the function f(x)=cosec^(-1)[sinx] " in " [0,2pi] , where [*] denotes the greatest integer function , is

The range of the function f(x)=cosec^(-1)[sinx] " in " [0,2pi] , where [*] denotes the greatest integer function , is

The number of integers in the range of function f(x)= [sinx] + [cosx] + [sinx + cosx] is (where [.] = denotes greatest integer function)

f(x)=1+[cos x]x in 0<=x<=(pi)/(2) (where [.] denotes greatest integer function)

If [2sinx]+[cosx]=-3 then the range of the function f(x)=sinx+sqrt3cosx in [0, 2pi] is, (where [.] denotes the greatest integer function)

f(x) = 1 + [cosx]x in 0 leq x leq pi/2 (where [.] denotes greatest integer function) then

The range of the function: f(x) = tan^(-1)[x], -pi/4 le x le pi/4 where [.] denotes the greatest integer function:

The function f(x) = [x] cos((2x-1)/2) pi where [ ] denotes the greatest integer function, is

The range of f(x)=[1+sinx]+[2+sin(x/2)]+[3+sin (x/3)]+....+[n+sin (x/n)]AAx in [0,pi] , where [.] denotes the greatest integer function, is,