The number of real solution(s) of the equation `3cos^(-1)x=(1)/(x-[x]),` where [.] represents the greatest integer function, is

The solution set of equation (x+2)^(2)+[x-2]^(2)=(x-2)^(2)+[x+2]^(2) , where [.] represents the greatest integer function, is

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

The solution set of the equation [x]^(2) +[x+1] -3=0, where [.] represents greatest integeral function is :

Find the domain of the function f(x)=(1)/([x]^(2)-7[x]-8) , where [.] represents the greatest integer function.

Find the range of f(x)=(x-[x])/(1-[x]+x'), where [] represents the greatest integer function.

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

Evaluate: lim (tan x)/(x) where [.] represents the greatest integer function

If f(x)=|x-1|.([x]=[-x]), then (where [.] represents greatest integer function)

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.

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