Solve, for 0<x<π0 < x < \pi0<x<π, the equation
(4x−5)(4sin2x−3)=0 (4x - 5)(4\sin^2 x - 3) = 0 (4x−5)(4sin2x−3)=0giving your answers in terms of π\piπ where appropriate.
Solve, for 0<θ<360∘0 < \theta < 360^\circ0<θ<360∘, the equation
11cosθ=3cos2θ+8 11\cos \theta = 3\cos 2\theta + 8 11cosθ=3cos2θ+8giving your answers to one decimal place.
Practise AQA A Level Maths 1.8 E: Trigonometry with exam-style questions for A Level Maths. 239 questions covering 1.8.1 Trigonometric definitions, rules and radians, 1.8.2 Small angle approximations (A-level only), 1.8.3 Trigonometric functions and exact values, 1.8.4 Reciprocal and inverse trigonometric functions (A-level only), 1.8.5 Trigonometric identities, 1.8.6 Compound and double angle formulae (A-level only), 1.8.7 Solving trigonometric equations, 1.8.8 Proofs with trigonometric identities, and 1.8.9 Trigonometry in context, matched to the AQA A Level Maths (7357) 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.