If \({\rm{cos}}\left( {{\rm{\alpha }} + {\rm{\beta }}} \right) = \frac{3}{5},\;{\rm{sin}}\left( {{\rm{\alpha }} - {\rm{\beta }}} \right) = \frac{5}{{13}}\;\)and \(0 < \alpha ,{\rm{\;}}\beta < \frac{\pi }{4}\), then tan 2α is equal to:

• A. \(\frac{{63}}{{52}}\)
• B. \(\frac{{63}}{{16}}\)
• C. \(\frac{{21}}{{16}}\)
• D. \({\rm{\;}}\frac{{33}}{{52}}\)