Question

How do you simplify `sin(x) + sin(x)cot^2(x) = csc(x)`?

Answer 1

`LHS=sin(x) + sin(x)cot^2(x)`

`=sin(x)(1 + cot^2(x))`

`=sin(x)csc^2(x)`

`=1/csc(x)xxcsc^2(x)`

`= csc(x)=RHS`