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Trig identities: Edexcel A‑Level Maths questions

Edexcel A-Level Maths past-paper questions on 5.6 Trig identities, 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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1,254 questions

  1. Q8

    June 2025 · AS Pure

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  2. Q8

    June 2024 · Pure 2

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  3. Q13

    June 2024 · AS Pure

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  4. Q14

    June 2023 · Pure 2

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  5. Q12

    June 2023 · AS Pure

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  6. Q15

    June 2022 · Pure 2

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  7. Q12

    November 2021 · AS Pure

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  9. Q9

    November 2020 · AS Pure

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  11. Q4

    June 2019 · Pure 2

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  12. Q12

    June 2019 · AS Pure

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All 12 questions on Trig identities, as a list
  1. June 2025, AS Pure, Q8 (5 marks): In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. Solve, for 0  x  90°, the e
  2. 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
  3. June 2024, AS Pure, Q13 (9 marks): In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. (a) Show that the equation si
  4. June 2023, Pure 2, Q14 (7 marks): In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. (a) Show that the equation 2
  5. June 2023, AS Pure, Q12 (9 marks): In this question you must show detailed reasoning. Solutions relying entirely on calculator technology are not acceptable. (a) Show that the equation 4 5 tan co
  6. June 2022, Pure 2, Q15 (10 marks): In this question you must show all stages of your working. Solutions relying on calculator technology are not acceptable. Given that the first three terms of a
  7. November 2021, AS Pure, Q12 (9 marks): In this question you should show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. (i) Solve, for 0 < θ  450°
  8. November 2020, Pure 1, Q15 (7 marks): The curve C has equation x2 tan y = 9 0 < y < 2 π (a) Show that d d y x = − + 18 81 4 x x (4) (b) Prove that C has a point of inflection at x = 27 4 (3)
  9. November 2020, AS Pure, Q9 (8 marks): P(c, d) y O x Figure 3 Figure 3 shows part of the curve with equation y = 3 cos x°. The point P(c, d) is a minimum point on the curve with c being the smallest
  10. June 2019, Pure 1, Q14 (7 marks): The curve C, in the standard Cartesian plane, is defined by the equation x = 4 sin 2\    4 4 π π y − < < The curve C passes through the origin O (a) Find th
  11. June 2019, Pure 2, Q4 (6 marks): y x O S C2 C1 Figure 2 The curve C1 with parametric equations x ௘FRVt , y = 4 2sin t , 0 - t 2ʌ meets the circle C2 with equation x2 + y2 = 66 at four dist
  12. June 2019, AS Pure, Q12 (7 marks): (a) Show that 2 10sin 7cos 2 3 2cos θ θ θ − + + ٱFRVș (4) (b) Hence, or otherwise, solve, for 0 - x 360q, the equation 10 7 2 3 2 2 sin cos cos x x x −

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