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1.8 E: Trigonometry

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Question 131
i.

Solve, for 0<θ<π0 < \theta < \pi0<θ<π

3sec⁡θ=8sin⁡θ 3 \sec \theta = 8 \sin \theta 3secθ=8sinθ

giving your answers, in radians, to 3 significant figures.

[4]
ii.

Solve, for 0<x<180∘0 < x < 180^\circ0<x<180∘

tan⁡3x−tan⁡22∘1+tan⁡3xtan⁡22∘=0.8 \frac{\tan 3x - \tan 22^\circ}{1 + \tan 3x \tan 22^\circ} = 0.8 1+tan3xtan22∘tan3x−tan22∘​=0.8

giving your answers, in degrees, to one decimal place.

[4]
Markscheme

1.8 E: Trigonometry Questions

  1. A Level
  2. /Maths
  3. /1.8 E: Trigonometry

317 exam-style questions on AQA A Level Maths 1.8 E: Trigonometry, 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. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank