If sec (5α - 15°) = cosec (15° - 2α), then the value of cos 3α + sin 2α + cot α is:

1
\(\frac{{3\sqrt 3 }}{2}\)
2
\(\frac{{\sqrt 3 \left( {\sqrt 3 \, - \,1} \right)}}{2}\)
3
\(\frac{{\sqrt 3 }}{2}\)
4
\(\frac{{\sqrt 3 \left( {\sqrt 3 \, + \,1} \right)}}{2}\)

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