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,

The range of f(x)=[1+sinx]+[2+s in2/x]+[3+s in x/3]++[n+s in x/n]AAx in [0,pi] , where [.] denotes the greatest integer function, is, {(n+n-2^2)/2,(n(n+1))/2} {(n(n+1))/2} {(n^2+n-2^)/2,(n(n+1))/2(n^2+n+2)/2} [(n(n+1))/2,(n^2+n+2)/2]

Draw the graph of [y] = sin x, x in [0,2pi] where [*] denotes the greatest integer function

If [sin x]+[sqrt(2) cos x]=-3 , x in [0,2pi] , (where ,[.] denotes th greatest integer function ), then

f(x)=sin^-1[log_2(x^2/2)] where [ . ] denotes the greatest integer function.

If f(x) =[ sin ^(-1)(sin 2x )] (where, [] denotes the greatest integer function ), then

f(x) = lim_(n->oo) sin^(2n)(pix)+[x+1/2] , where [.] denotes the greatest integer function, is

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

If f(x)=[sin^(2) x] ([.] denotes the greatest integer function), then

Period of f(x) = sin 3x cos[3x]-cos 3x sin [3x] (where[] denotes the greatest integer function), is

f(x)= cosec^(-1)[1+sin^(2)x] , where [*] denotes the greatest integer function.