Please help! Simplify: ((1-sin^(2)x))/(cot^(2)x)

Question

((1-sin^(2)x))/(cot^(2)x)

Answer 1

(1 - sin²(x)) / (cot²(x))

= cos²(x) / (cos²(x) / sin²(x))

= cos²(x) * (sin²(x) / cos²(x))

= sin²(x)

Identities used:

sin²(x) + cos²(x) = 1 => 1 - sin²(x) = cos²(x)

cot(x) = 1 / tan(x) = cos(x) / sin(x)