Find the value of \(\frac{{tan31^\circ \; + \;\tan 29^\circ }}{{cot45^\circ - cot59^\circ cot61^\circ }}\)

• A. \(\sqrt 3 \)
• B. \(- \sqrt 3\)
• C. \(\frac{1}{{\sqrt 3 }}\)
• D. \(- \frac{1}{{\sqrt 3 }}\)