Simplify (cos 45^°)/(sec 30^°+cosec 30^°)

$\frac{3 \sqrt{2}+\sqrt{6}}{8}$

$\frac{\sqrt{3}}{2 \sqrt{2}-2 \sqrt{6}}$

$\frac{3 \sqrt{2}-\sqrt{6}}{8}$

$\frac{\sqrt{3}}{2 \sqrt{6}-2 \sqrt{2}}$