Find the number of solutions of the equation `[x^(2)]+2[x]=3x`,`x in[0,2] {where ` [.]`denotes greatest integer function}

Number of solutions of the equation cos[x]=e^(2x-1),x in [0,2pi] , where[.] denotes the greatest integer function is

Find the number of solution of the equations |cos x |=[x] , (where [.] denotes the greatest integer function ).

Total number of solution for the equation x^(2)-3[sin(x-(pi)/6)]=3 is _____(where [.] denotes the greatest integer function)

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

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

Sum of the solution of the equation [x^2]-2x+1=0 is (where [.] denotes greatest integer function) 1/2 (2) 2 (3) 3 (4) 3/2

The number of solution of the equastion |x-1|+|x-2|=[{x}]+{[x]}+1 , where [.] and {.} denotes greatest integer function and fraction part funstion respectively is :

The number of solutions of the equation tan^(-1)(4{x})+cot^(-1)(x+[x]))=(pi)/(2) is (where [.] denotes greatest integer function and {.} fractional part of function.

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

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