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.
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.
