Statement 1: `f(x)=cos x` is continous at `x=0a n dg(x)=[tanx],"w h e r e"[dot]` represents greatest integer function, is discontinuous at `x=0,t h e nh(x)=f(x)dotg(x)` is discontinuous at `x=0.` Statement 2: If `f(x)` is continous and `g(x)` is discontinuous at `x=a ,t h e nh(x)=f(x)g(x)` is discontinuous at `x=a`