plumiTrig proofs: Edexcel A‑Level Maths questions
Edexcel A-Level Maths past-paper questions on 5.10 Trig proofs, 2010–2025, 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 8 questions on Trig proofs, as a list
- June 2024, Pure 2, Q8 (7 marks): In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. (a) Prove that o 1 1 2tan sec
- June 2022, AS Pure, Q13 (8 marks): In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. (a) Show that 1 cosθ + tan θ
- November 2021, Pure 1, Q10 (8 marks): In this question you should show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. (a) Given that 1 + cos 2θ +
- November 2020, Pure 1, Q12 (8 marks): In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. (a) Show that cosec θ − sin θ
- November 2020, Pure 2, Q10 (8 marks): In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. (a) Show that cos 3 A ≡ 4 cos
- June 2019, Pure 2, Q12 (7 marks): (a) Prove cos3 sin θ θ + sin3 cos θ θ {FRWș ș z (90n)°, n ] (4) (b) Hence solve, for 90° ș 180°, the equation cos3 sin θ θ + sin3 cos θ θ = 4 giving any
- June 2019, AS Pure, Q12 (7 marks): (a) Show that 2 10sin 7cos 2 3 2cos θ θ θ − + + Ł±FRVș (4) (b) Hence, or otherwise, solve, for 0 - x 360q, the equation 10 7 2 3 2 2 sin cos cos x x x −
- June 2018, Pure 2, Q12 (9 marks): (a) Prove that 1 − cos 2θ ≡ tan θ sin 2θ, θ ≠ (2 1) 2 n π + , n ∈ (3) (b) Hence solve, for −2 π < x < 2 π , the equation (sec2 x − 5)(1 − cos 2x) = 3 tan2 x s
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