Prove that for all real numbers for which the expressions are defined.

MATHEMATICS · Subjective · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Prove that (sec⁡2x−1)(csc⁡2x−1)=tan⁡2x cot⁡2x (\sec^{2}x - 1)(\csc^{2}x - 1) = \tan^{2}x \, \cot^{2}x for all real numbers xx for which the expressions are defined.

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