∀n∊Z Hence f(x) is discontinuous at all integral points. Therefore, statement 1 is true. Considering statement 2 f(x)=cot(x)=
cos(x)
sin(x)
∀x=nπ→sin(x)=0 ∴ The graph of cot( ) will be discontinuous at x=nπ Hence f(x) is discontinuous at all integral multiples of π Therefore statement 2 is also correct.