The value of \(\frac{{{{\sin }^2}60^\circ + {{\cos }^2}30^\circ - \sec 35^\circ .\sin 55^\circ }}{{\sec 60^\circ + cosec\;30^\circ }}\)

• A. 1/2
• B. 1/4
• C. 1/8
• D. 1/3