plumiCompound and double angle formulae: WJEC A‑Level Maths questions
WJEC 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 6 questions on Compound and double angle formulae, as a list
- Summer 2025, Unit 3, Q2 (12 marks): 2. (a) Find all values of x in the range 0XxX2π satisfying the equation cos2 sin 0 x x . Give your answers in terms of π. [6] Find all values of θ in the ra
- Summer 2024, Unit 3, Q11 (10 marks): 11. A curve is defined parametrically by x 2 sin2 y 1 cos2 , . Show that the gradient of the curve at the point with parameter is tan . (a) [6]
- Summer 2023, Unit 3, Q6 (15 marks): cos cos cos sin sin 0 6 A B A B A B a) Using the trigonometric identity , show that 6 − 2 the exact value of cos75° is . [3] 4 Solve the equation 2cot
- Summer 2022, Unit 3, Q17 (5 marks): 7 a) Prove that ( ). ( ) + sin α + β ( ) ≡ cosα + sinα ( ) cosβ + sinβ cos α −β [2] cos3θ + sin5θ cosθ + sinθ b) i) Hence show that can be expressed as . cos4θ
- Summer 2019, Unit 3, Q9 (8 marks): 9 a) Given that α and β are two angles such that tanα= 2cotβ, show that tan(α + β ) = – (tanα + tanβ ). [2] Find all values of θ in the range 0° X θX 360° satis
- Summer 2018, Unit 3, Q10 (14 marks): 0 The equation of a curve C is given by the parametric equations x = cos2θ , y = cosθ. a) Find the Cartesian equation of C. [2] π Show that the line x – y + 1 =
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