If 11 sin2 θ – cos2 θ + 4 sin θ – 4 = 0, 0° < θ < 90°, then what is the value of \(\frac{{\cos 2\;\theta \; + \;\cot 2\theta }}{{\sec 2\theta - \tan 2\;\theta }}?\)

\(\frac{{10\; + \;7\sqrt 3 }}{6}\)

\(\frac{{12\; + \;5\sqrt 3 }}{3}\)

\(\frac{{10\; + \;5\sqrt 3 }}{3}\)

\(\frac{{12\; + \;7\sqrt 3 }}{6}\)

If 11 sin2 θ – cos2 θ + 4 sin θ – 4 = 0, 0° < θ < 90°, then

1.	If 11 sin2 θ – cos2 θ + 4 sin θ – 4 = 0, 0° < θ < 90°, then what is the value of \(\frac{{\cos 2\;\theta \; + \;\cot 2\theta }}{{\sec 2\theta - \tan 2\;\theta }}?\)
A.	\(\frac{{12\; + \;5\sqrt 3 }}{3}\)
B.	\(\frac{{10\; + \;5\sqrt 3 }}{3}\)
C.	\(\frac{{12\; + \;7\sqrt 3 }}{6}\)
D.	\(\frac{{10\; + \;7\sqrt 3 }}{6}\)
Answer» D. \(\frac{{10\; + \;7\sqrt 3 }}{6}\)