Solve, for 0<θ<π0 < \theta < \pi0<θ<π
3secθ=8sinθ 3 \sec \theta = 8 \sin \theta 3secθ=8sinθgiving your answers, in radians, to 3 significant figures.
Solve, for 0<x<180∘0 < x < 180^\circ0<x<180∘
tan3x−tan22∘1+tan3xtan22∘=0.8 \frac{\tan 3x - \tan 22^\circ}{1 + \tan 3x \tan 22^\circ} = 0.8 1+tan3xtan22∘tan3x−tan22∘=0.8giving your answers, in degrees, 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.