plumiR cos(θ ± α) form: Edexcel A‑Level Maths questions
Edexcel A-Level Maths past-paper questions on 5.8 R cos(θ ± α) form, 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 5 questions on R cos(θ ± α) form, as a list
- June 2024, Pure 1, Q12 (11 marks): (a) Express 140 cos θ – 480 sin θ in the form K cos(θ + α) where K > 0 and 0 < α < 90° State the value of K and give the value of α, in degrees, to 2 decimal pl
- June 2023, Pure 2, Q8 (6 marks): (a) Express 2 cos θ + 8 sin θ in the form R cos(θ – α) , where R and α are constants, R > 0 and 0 < α < 2 π Give the exact value of R and give the value of α in
- November 2021, Pure 2, Q15 (11 marks): (a) Express 2cos θ – sin θ in the form R cos (θ + α), where R > 0 and 0 < α < π 2 Give the exact value of R and the value of α in radians to 3 decimal places. (
- November 2020, Pure 1, Q6 (7 marks): (a) Express sin x + 2 cos x in the form R sin (x + α) where R and α are constants, R > 0 and 0 < α < 2 π Give the exact value of R and give the value of α in ra
- June 2018, Pure 2, Q7 (9 marks): (i) Solve, for 0 x < 2 π , the equation 4 sin x = sec x (4) (ii) Solve, for 0 θ < 360°, the equation 5 sin θ − 5 cos θ = 2 giving your answers to one decima
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