Let x and y be real numbers such that \(\dfrac{\rm{sin}\ x}{\rm{sin} \ y} = 3 \ \rm{and}\ \dfrac{\rm{cos}\ x}{\rm{cos} \ y} = \dfrac{1}{2}\). The value of \( \dfrac{\rm{sin}\ 2x}{\rm{sin}\ 2y}+\dfrac{\rm{cos}\ 2x}{\rm{cos} \ 2y} =\)is

• A. None of these
• B. \(\dfrac{51}{58}\)
• C. \(\dfrac{49}{58}\)
• D. \(\dfrac{41}{58}\)