plumiCompound and double angle formulae: AQA A‑Level Maths questions
AQA A-Level Maths past-paper questions on E.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 10 questions on Compound and double angle formulae, as a list
- June 2025, Paper 1, Q16 (7 marks): The triangle ABC is shown in the diagram below. The angle ABC is π 3 radians. The angle BCA is x radians. A B C x 3 16 (a) Explain why angle BAC = 2π 3 – x [1 m
- 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
- 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 2021, Paper 2, Q9 (9 marks): A robotic arm which is attached to a flat surface at the origin O, is used to draw a graphic design. The arm is made from two rods OP and PQ, each of length d,
- November 2021, Paper 2, Q18 (11 marks): Two particles, P and Q, are projected at the same time from a fixed point X, on the ground, so that they travel in the same vertical plane. P is projected at an
- November 2020, Paper 2, Q8 (10 marks): The curve defined by the parametric equations x = t2 and y = 2t − 2 p × t × 2 p is shown in Figure 1 below. Figure 1 x y O 8 (a) Find a Cartesian equation of th
- November 2020, Paper 3, Q9 (5 marks): (a) For cos y 6= 0 , prove that cosec 2y + cot 2y = coty [4 marks] 9 (b) Explain why cot y 6= cosec 2y + cot 2y when cos y = 0 [1 mark]
- June 2019, Paper 1, Q11 (4 marks): Jodie is attempting to use differentiation from first principles to prove that the gradient of y = sinx is zero when x = p 2 Jodie’s teacher tells her that she
- June 2018, Paper 1, Q14 (7 marks): Some students are trying to prove an identity for sin (A + B) . They start by drawing two right-angled triangles ODE and OEF, as shown. The students’ incomplete
- June 2018, Paper 3, Q8 (9 marks): (a) Prove the identity sin 2x 1 + tan2 x × 2 sin x cos3 x [3 marks] 8 (b) Hence find ( 4 sin 4y 1 + tan2 2y dy [6 marks]
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