$\displaystyle \begin{array}{{>{\displaystyle}l}} \frac{\pi }{2} < a< \pi \Rightarrow cosa >0\\ Có\ sin^{2} a+cos^{2} =1\\ \Rightarrow cos^{2} a=\frac{9}{25}\\ mà\ cosa >0\\ \Rightarrow cosa=\frac{3}{5}\\ Có:\ sin2a=2sinacosa=\frac{24}{25}\\ cos2a=cos^{2} a-sin^{2} a=-\frac{7}{25} \end{array}$