plumiCompound and double angle formulae: OCR MEI A‑Level Maths questions
OCR MEI A-Level Maths past-paper questions on 5.7 Compound and double angle formulae, 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 12 questions on Compound and double angle formulae, as a list
- June 2025, Paper 3, Q13 (3 marks): tan A tan B + 13 Use tan ( A B ) , with suitable choices for A and B, to show that + = 1 tan A tan B - 2 t ( 3 t ) - tan 3 , where t tan , as given in line 25.
- June 2024, Paper 3, Q7 (3 marks): Prove that sin 8 tan 4 cos 8 = . 1 [3] i i + i
- June 2023, Paper 1, Q6 (5 marks): a k a k can be written in the form 1 1 6 (a) Show that the equation sin x cos x + = - r r 6 4 2 1 - tan x . [4] = 3 2 - a k a k for 1 1 (b) Hence solve the equa
- June 2023, Paper 1, Q10 (6 marks): 10 The diagram shows the graph of y 1 5 . sin x for 0 x 2 r. = + G G y x O 2r (a) Show that the equation of the graph can be written in the form y a b cos 2 x w
- June 2023, Paper 2, Q17 (6 marks): In this question you must show detailed reasoning. Solve the equation sin 2 x sec x 4 cos x , where x . [6] + = - 1 1 r r
- June 2023, Paper 3, Q10 (6 marks): 2 3 6 4 2 2 4 6 10 (a) You are given that ( x y ) x 3 x y 3 x y y . + = + + + 6 6 3 2 Hence, or otherwise, prove that sin cos 1 sin 2 for all values of i. [4] +
- June 2022, Paper 3, Q4 (5 marks): In this question you must show detailed reasoning. 2 = Determine the exact solutions of the equation cos 2 x 3 sin x for 0 x 2 r [5] . G G
- November 2021, Paper 3, Q12 (3 marks): c m, as given in line 15. 1 12 Show that arctan 3 [3] b =
- November 2021, Paper 3, Q14 (5 marks): (a) Show that c m c m c m c m 1 c 1 m 1 1 1 & arctan arctan arctan arctan arctan arctan 1 . [1] + = + = 2 n 1 n n n 2 3 1 + + + (b) Use the arctan addition form
- November 2021, Paper 3, Q15 (4 marks): Prove that arctan 1 arctan 2 arctan 3 , as given in line 41. [4] + + = r
- November 2020, Paper 2, Q14 (8 marks): In this question you must show detailed reasoning. 1 - sin2x cosx. Fig. 14 shows the graphs of y = sin x cos 2x and y = 2 y 1 1 y= –sin2x cosx 2 0.5 x 0 0.5 1 y
- June 2018, Paper 1, Q8 (6 marks): 2 can be written as 8 (i) Show that sin 8 x cos x 1 cos x 4 . [3] - y 2 2 (ii) Hence find sin x cos x x d . [3]
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