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Geometry Level 3

\[\left[\dfrac{1}{\sec^2A-\cos^2A}+\dfrac{1}{\csc^2A-\sin^2A}\right]\cos^2A\sin^2A \\ = \dfrac{1-2\cos^2A\sin^2A}{2+\cos^2A\sin^2A}\] The above trigonometric identity is \(\text{__________} \).

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