3 tanθ = \(2\sqrt 3 \) sinθ, 0° < θ < 90° ആണെങ്കിൽ,  \(\rm \frac{{\cos e{c^2}2\,\theta + {{\cot }^2}2\,\theta }}{{{{\sin }^2}\,\theta + {{\tan }^2}2\,\theta }}\) ഇതിന്റെ മൂല്യം ആണ്:

1
\(\frac{{20}}{{39}}\)
2
\(\frac{{20}}{{27}}\)
3
\(\frac{{4}}{{13}}\)
4
\(\frac{{4}}{{3}}\)

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