Verify that the equation is an identity. cot^4 x - csc^4 x = 1 - 2 csc^2 x To verify the identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations and transform the expression at each step. cot^4 x - csc^4 x = ( ) (cot^2 x + csc^2 x) Factor the difference of two squares. = ( ) (cot^2 x + csc^2 x) (Type an exact answer in simplified form.) Choose an identity, and use it to transform cot^2 x. Then simplify. = 1 - 2 csc^2 x