Solve the given equation.$$ {{cot 30 } over {1+sin 45 }}+{{1+sin 45 } over cot 30 }=?$$

• A. $$ {5 sqrt{3}}-{6 sqrt{6}} over 6$$
• B. $$ {3-2 sqrt{3}}$$
• C. $$ {14 sqrt{3}}-{5 sqrt{6}} over 6$$
• D. $$ {6 sqrt{6}}-{5 sqrt{3}} over 6$$