GIF and FPF

If 7x+3{x}=8[x] where [.] is G.I.F and {.} is f*p.x then number of values of x is

The number of solutions of 4{x}=x+ [x] where [.] denotes G.I.F and {.} represents fractional part function is equal to

{sin x}=[cos x.]=G.I.F. and {.}=f.p.x then x has

If tetha is angle between the curves y=[|sin x|+|cos x]. denote ([.] denote GIF) and x^(2)+y^(2)=5 then coseche is

Question based on LHL,RHL , GIF Based questions, [ Trigo fxn ] Based questions & Important questions

Illustration based on characteristic and GIF

Let f(x) = x[x], x in z, [.] is GIF then "f"^(')(x) =