Sin/1+cos == csc- cot...pls prove?

Question

Sin/1+cos == csc- cot...pls prove?

Answer 1

bring sin to denominator

   =  1 /  [(1+cos)/sin]

   =  1/ [(1/sin)+(cos/sin)]

   =  1/ (csc+cot)

     now multiply & divide by (csc-cot)

   =  1/ (csc+cot) * (csc-cot)/(csc-cot)

   in denominator u get csc^2 - cot^2 its = 1

    = (csc-cot)