If 7 sin2 θ – cos2 θ + 2 sin θ = 2, 0° < θ < 90°, then the value of \(\frac{{\sec 2\theta + \cot 2\theta }}{{cosec\;2\;\theta + \tan 2\theta }}\) is:

• A. \(\frac{2}{5}\left( {1 + \sqrt 3 } \right)\)
• B. \(\frac{1}{5}\left( {1 + 2\sqrt 3 } \right)\)
• C. \(\frac{{2\sqrt 3 + 1}}{3}\)
• D. 1