Prove that:
3sec4x−3tan4x≡3+6tan2x3\sec^4x - 3\tan^4x \equiv 3 + 6\tan^2x3sec4x−3tan4x≡3+6tan2x
Hence solve, for 0≤x≤3600 \leq x \leq 3600≤x≤360, the equation,
3sec4x−3tan4x=5 3\sec^4x - 3\tan^4x = 5 3sec4x−3tan4x=5274 exam-style questions on Edexcel A Level Maths Trigonometric Functions, covering 6.1 Secant, Cosecant and Cotangent, 6.2 Graphs of Sec x, Cosec x and Cot x, 6.3 Using Sec x, Cosec x and Cot x, 6.4 Trigonometric Identities, and 6.5 Inverse Trigonometric Functions. Each one has a worked solution and a mark scheme showing where the marks go.