The value of \(\sin\left[{{{\sin}^{ -1}}\frac{3}{5} - {{\cos}^{ -1}}\frac{{12}}{{13}}} \right]\) is

1
\(\frac{{16}}{{65}}\)
2
\(\frac{{12}}{{65}}\)
3
\(\frac{{16}}{{25}}\)
4
None of these

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