Question

If you were to solve cot(y)(csc^2(y)-1)
would cos(y)/sin(y) be correct?

Answer 1

cot(y) = cos(y)/sin(y)
csc^2(y) = 1/sin^2(y)

Answer 2

so the answer is cot?

Answer 3

You need to substitute those values I showed and simplify further.