In a ∆ABC, right angled at B if tan C = √3, then find \(\frac{\sin^2 C\ +\ \cos^2 C}{1+ \cot^2 C}\)  

1
\(\frac{3}{4}\)
2
\(\frac{16}{3}\)
3
\(\frac{4}{15}\)
4
\(\frac{3}{16}\)

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