$\begin{array}{1 1} a.sin(ax+b)sec(cx+d)+csin(ax+b)tan(cx+d)sec(cx+d) \\ a.sin(ax+b)sec(cx+d)-csin(ax+b)tan(cx+d)sec(cx+d) \\ a.sin(ax+b)cosec(cx+d)+csin(ax+b)cot(cx+d)sec(cx+d) \\ a.sin(ax+b)cosec(cx+d)-csin(ax+b)cot(cx+d)sec(cx+d)\end{array} $