Here,
#siny=sin(a+y)*x=x[sinacosy+cosasiny]#
#=>siny=xsinacosy+xcosasiny#
#=>siny-xcosasiny=xsinacosy#
#=>siny(1-xcosa)=xsinacosy#
#=>siny/cosy=(xsina)/(1-xcosa)##=>tany=(xsina)/(1-xcosa)#
#=>y=tan^(-1)((xsina)/(1-xcosa))#
#=>(dy)/(dx)=1/(1+((xsina)/(1-xcosa))^2)d/(dx)((xsina)/(1-xcosa))#
#=(cancel((1-xcosa)^2))/((1-xcosa)^2+(xsina)^2)((1-xcosa)*sina-x*sina*(-cosa))/(cancel((1-xcosa)^2))#
#=(sina-xcosasina+xsinacosa)/(1-2xcosa+x^2cos^2a+x^2sin^2a)=(sina)/(1-2xcosa+x^2(cos^2a+sin^2a))=(sina)/(1-2xcosa+x^2#