plumiSolving trig equations: AQA A‑Level Maths questions
AQA A-Level Maths past-paper questions on E.9 Solving trig equations, 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 6 questions on Solving trig equations, as a list
- June 2025, Paper 3, Q10 (10 marks): (a) Express 2 sin x + 5 cos x in the form R sin (x + α) where R > 0 and 0° ≤ α ≤ 90° [3 marks] 10 (b) In 2010, the water temperature at a beach could be modelle
- June 2024, Paper 1, Q5 (3 marks): Solve the equation sin2 x = 1 for 0° < x < 360° [3 marks]
- June 2024, Paper 1, Q15 (6 marks): (a) Show that the expression sin 2θ cosec θ + cos 2θ sec θ can be written as 4 cos θ – sec θ where sin θ ≠ 0 and cos θ ≠ 0 [4 marks] 15 (b) A student is attempt
- June 2022, Paper 1, Q12 (8 marks): (a) A geometric sequence has first term 1 and common ratio 1 2 12 (a) (i) Find the sum to infinity of the sequence. [2 marks] 12 (a) (ii) Hence, or otherwise, e
- November 2021, Paper 1, Q8 (9 marks): (a) Given that 9 sin2 y + sin 2y = 8 show that 8 cot2 y − 2 cot y − 1 = 0 [4 marks] 8 (b) Hence, solve 9 sin2 y + sin 2y = 8 in the interval 0 < y < 2p Give you
- November 2020, Paper 1, Q8 (7 marks): Mike, an amateur astronomer who lives in the South of England, wants to know how the number of hours of darkness changes through the year. On various days betwe
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