If \(\frac{{{{\sin }^2}\phi - 3sin\;\phi + 2}}{{{{\cos }^2}\phi }} = 1,\) where 0° < ϕ < 90°, then what is the value of (cos2ϕ + sin3ϕ + cosec2ϕ)?

• A. \(\frac{{3 + 4\sqrt 3 }}{6}\)
• B. \(\frac{{2 + \sqrt 3 }}{3}\)
• C. \(\frac{{3 + 2\sqrt 3 }}{3}\)
• D. \(\frac{{9 + 4\sqrt 3 }}{6}\)