If tanθ - cotθ = cosecθ, 0° < θ < 90°, then what is the value of \(\frac{{2tan\theta - cos\theta }}{{\sqrt 3 cot\theta+ sec\theta }}\)?

• A. \(\frac{{2\sqrt 3 - 1}}{3}\)
• B. \(\frac{{23\left( {2\sqrt 3 - 1} \right)}}{3}\)
• C. \(\frac{{4\sqrt 3 - 1}}{6}\)
• D. \(\frac{{3\sqrt 3 - 1}}{6}\)