Simplify \(\frac{\cos 45^{\circ }}{\sec 30^{\circ}+ cosec30^{\circ}}\)

1
\(\frac{3\sqrt{2}+\sqrt{6}}{8}\)
2
\(\frac{\sqrt{3}}{2\sqrt{2}-2\sqrt{6}}\)
3
\(\frac{3\sqrt{2}-\sqrt{6}}{8}\)
4
\(\frac{\sqrt{3}}{2\sqrt{6}-2\sqrt{2}}\)

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