Explanation:
We can simplify the expression using trigonometric identities:
cot(x) - csc^2(x) / cot(x)
= cos(x) / sin(x) - 1/sin^2(x) / cos(x) / sin(x)
= cos^2(x) / sin(x) - 1 / sin(x)
= (cos^2(x) - 1) / sin(x)
= -sin^2(x) / sin(x)
= -sin(x)
Therefore, cot(x) - csc^2(x) / cot(x) simplifies to
-sin(x).