plumiTrig proofs: AQA A‑Level Maths questions
AQA A-Level Maths past-paper questions on E.10 Trig proofs, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 4 questions on Trig proofs, as a list
- June 2023, Paper 2, Q8 (10 marks): (a) Given that cos y 6= ≤1 , prove the identity 1 1 − cos y + 1 1 + cos y ≥ 2 cosec2 y [4 marks] 8 (b) Hence, find the set of values of A for which the equation
- November 2020, Paper 3, Q9 (5 marks): (a) For cos y 6= 0 , prove that cosec 2y + cot 2y = coty [4 marks] 9 (b) Explain why cot y 6= cosec 2y + cot 2y when cos y = 0 [1 mark]
- June 2018, Paper 1, Q14 (7 marks): Some students are trying to prove an identity for sin (A + B) . They start by drawing two right-angled triangles ODE and OEF, as shown. The students’ incomplete
- June 2018, Paper 3, Q8 (9 marks): (a) Prove the identity sin 2x 1 + tan2 x × 2 sin x cos3 x [3 marks] 8 (b) Hence find ( 4 sin 4y 1 + tan2 2y dy [6 marks]
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