Answer:
[tex]sin(x + y) = sinx cosy + cosxsiny = \frac{1}{8} \\ sin(x - y) = sinx cosy - cosx siny = \frac{1}{16} \\ add \: the \: above \\ 2sinx cosy =\frac{1}{8} + \frac{1}{16} \\ 2sinx cosy =\frac{2 + 1}{16} \\ 2sinx cosy =\frac{3}{16} \\ sinx cosy =\frac{3}{32} \\ \\ similarly \: subtract\\2cosxsiny=\frac{1}{16}-\frac{1}{8}==\frac{2 - 1}{16}\\\2cosxsiny=\frac{1}{16}\\\cosxsiny=\frac{1}{32}[/tex]
