Prove that and hence solve:

MATHEMATICS · Multi-part · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Prove that and hence solve: (1) Prove that sec⁡4x−tan⁡4x≡1+2tan⁡2x\sec^4x - \tan^4x \equiv 1 + 2\tan^2x. (2) Hence solve, for 0≤x≤3600 \leq x \leq 360, the equation sec⁡4x−tan⁡4x=3\sec^4x - \tan^4x = 3

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