verify the Pythagorean identity 1 + cot^2x = csc^2x
1 + cot^2x = csc^2x work on the left side.........
1 + cos^2x/sin^2x =
[sin^2x + cos^2x]/ sin^2x =
[1 / sin^2x] =
csc^2x which equals the RHS