Question

cscx-sinx=(cosx)(cotx)

Answer 1

(1/sinx)-sinx because cosecx =1/sinx
try to solve from here!!!

Answer 2

cot(x).cos(x)=[cos(x).cos(x)]/sin(x)=cos^2(x)/sin(x)=[1-sin^2(x)]/sin(x)=
=1/sin(x)-sin(x)=cosec(x)-sin(x)
that's all.:-)