The equation `x^2 - 2 = [sin x], where [.]` denotes the greatest integer function, has

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

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

The function f(x)={x} sin (pi[x]) , where [.] denotes the greatest integer function and {.} is the fractional part function, is discontinuous at

The sum of solutions of the equation 2[x] + x =6{x} is (where [.] denotes the greatest integer function and {.} denotes fractional part function)

The function f(x) = {x} sin (pi [x]) , where [.] denotes the greatest integer function and {.} is the fraction part function , is discontinuous at

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

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

The range of the function y=[x^2]-[x]^2 x in [0,2] (where [] denotes the greatest integer function), is

Find number of solutions for equation [sin^(-1)x]=x-[x] , where [.] denotes the greatest integer function.