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.
317 exam-style questions on OCR A Level Maths 1.5 Trigonometry, covering 1.5.1 Definitions for all arguments, 1.5.2 Sine and cosine rules, 1.5.3 Area of a triangle, 1.5.4 Radian measure (A-level only), 1.5.5 Small angle approximations (A-level only), 1.5.6 Graphs of basic trigonometric functions, 1.5.7 Exact values in radians (A-level only), 1.5.8 Reciprocal and inverse trigonometric ratios (A-level only), 1.5.9 Graphs of reciprocal and inverse functions (A-level only), 1.5.10 Trigonometric identities, 1.5.11 Further trigonometric identities (A-level only), 1.5.12 Double angle and compound angle formulae (A-level only), 1.5.13 Geometrical proofs of formulae (A-level only), 1.5.14 Harmonic form Rcos / Rsin (A-level only), 1.5.15 Trigonometric equations, 1.5.16 Proof involving trigonometric functions (A-level only), and 1.5.17 Trigonometric functions in context. Each one has a worked solution and a mark scheme showing where the marks go.