If 5 cos2 θ + 1 = 3 sin2θ, 0°< θ < 90°, then what is the value of \(\frac{{tan{\rm{\theta \;}} + {\rm{\;sec\theta }}}}{{cot{\rm{\theta \;}} + {\rm{\;cosec\theta }}}}\)?

\(\frac{{2\; + \;3\sqrt 3 }}{3}\)

\(\frac{{3\; + \;2\sqrt 3 }}{3}\)

\(\frac{{2\; + \;3\sqrt 3 }}{2}\)

\(\frac{{3\; + \;2\sqrt 3 }}{2}\)

If 5 cos2 θ + 1 = 3 sin2θ, 0°< θ < 90°, then what is the value of

1.	If 5 cos2 θ + 1 = 3 sin2θ, 0°< θ < 90°, then what is the value of \(\frac{{tan{\rm{\theta \;}} + {\rm{\;sec\theta }}}}{{cot{\rm{\theta \;}} + {\rm{\;cosec\theta }}}}\)?
A.	\(\frac{{3\; + \;2\sqrt 3 }}{3}\)
B.	\(\frac{{2\; + \;3\sqrt 3 }}{3}\)
C.	\(\frac{{2\; + \;3\sqrt 3 }}{2}\)
D.	\(\frac{{3\; + \;2\sqrt 3 }}{2}\)
Answer» B. \(\frac{{2\; + \;3\sqrt 3 }}{3}\)