Question

How do you prove `sin y cot y csc^2 y = cos y + cosy cot^2y?`

Answer 1

`LHS=sin y cot y csc^2 y`

`=sin y (cos y/siny )(1+c ot^2 y )`

`=cos y(1+cot^2 y )`

`= cos y + cosy cot^2y=RHS`