(3) (20 pts Consider a binary relations Ron F = {f:R+R} defined as follows: fi R2 = 3a CR fi(q) = f(a). (a) (5pt) Is sin(2) R? (b) (5pt) Is cos(2) R(x2+2)? (C) (5pt) Is R reflexive? Explain. (d) (5pt) Is R symmetric? Explain. (e) (+5pt) Find a counterexample to prove that R is not transitive. (Or explain why a counterexample exists.)