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solve verifying the identity

csc^4x-cot^4x=csc^2x cot^2x

$\csc^4x-\cot^4x=\csc^2x + \cot^2x$

Notice that the LHS is a difference of two squares.
Then, use the fact that $1 + \cot^2x = \csc^2 x$

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