sin^2 x + cos^2 x = 1

Question

using that, derive what the cot^2 x would equal to.

would it be
csc^2 x - 1 = cot^2 x

Answer 1

given: sin^2 x + cos^2 x = 1
divide each term by sin^2 x

1 + cos^2 x / sin^2 x = 1/sin^2 x
1 + cot^2 x = csc^2 x

which reduces to your answer.

Good job