Prove that:
sec4x−tan4x≡1+2tan2x\sec^4x - \tan^4x \equiv 1 + 2\tan^2xsec4x−tan4x≡1+2tan2x
Hence solve, for 0≤x≤3600 \leq x \leq 3600≤x≤360, the equation,
sec4x−tan4x=3 \sec^4x - \tan^4x = 3 sec4x−tan4x=3Practise Edexcel A Level Maths 6.4 Trigonometric Identities with exam-style questions for A Level Maths. 12 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.