plumiR cos(θ ± α) form: AQA A‑Level Maths questions
AQA A-Level Maths past-paper questions on E.8 R cos(θ ± α) form, 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 5 questions on R cos(θ ± α) form, 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 2023, Paper 1, Q12 (8 marks): One of the rides at a theme park is a room where the floor and ceiling both move up and down for 10p seconds. At time t seconds after the ride begins, the dista
- November 2020, Paper 3, Q2 (1 mark): Given that 6 cos y + 8 sin y × R cos (y + a) find the value of R. Circle your answer. [1 mark] 6 8 10 14
- June 2019, Paper 2, Q6 (6 marks): A curve has equation y = a sinx + b cos x where a and b are constants. The maximum value of y is 4 and the curve passes through the point p 3 , 2 3 p as shown i
- June 2018, Paper 2, Q8 (10 marks): (a) Determine a sequence of transformations which maps the graph of y = sinx onto the graph of y = 3 p sin x − 3 cos x + 4 Fully justify your answer. [7 marks]
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