Problem

Problem

Prove the identities: a. sec⁡2x−cosec2x≡tan⁡2x−cot⁡2x\sec^2x - \text{cosec}^2x \equiv \tan^2x - \cot^2x b. (sec⁡x−cos⁡x)2≡tan⁡2x−sin⁡2x(\sec x - \cos x)^2 \equiv \tan^2x - \sin^2x

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