If \(\frac{{\sin \theta }}{{1 + cos\theta }} + \frac{{1 + \cos \theta }}{{sin\theta }} = \frac{4}{{\sqrt 3 }},0^\circ < \theta < 90^\circ ,\) then the value of (secθ + tanθ)-1 is:

• A. 3 + √2
• B. 2 + √3
• C. 2 – √3
• D. 3 – √2