Use the identity cos2θ+sin2θ=1\cos^2\theta + \sin^2\theta = 1cos2θ+sin2θ=1 to prove that tan2θ=sec2θ−1\tan^2\theta = \sec^2\theta - 1tan2θ=sec2θ−1
Solve, for 0≤θ≤3600 \leq \theta \leq 3600≤θ≤360, the equation,
tan2θ+sec2θ+5secθ=2 \tan^2\theta + \sec^2\theta + 5\sec\theta = 2 tan2θ+sec2θ+5secθ=2Give your answers to 1 decimal place.
Practise Edexcel A Level Maths Trigonometric Functions with exam-style questions for A Level Maths. 36 questions 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, 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.