plumiSolving trig equations: WJEC A‑Level Maths questions
WJEC A-Level Maths past-paper questions on 5.9 Solving trig equations, 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 15 questions on Solving trig equations, 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 2025, AS Unit 1, Q10 (6 marks): 10. Solve the following equation for values of θ between 0° and 360°. [6] 15sin 2 2cos 14
- Summer 2024, Unit 3, Q2 (11 marks): Find all values of θ in the range 0° ! θ ! 360° satisfying 2. (a) 2 3cot 4cosec 5 [5] . , where R and α are constants with By writing 24cos x 7sin
- Summer 2024, AS Unit 1, Q2 (3 marks): Find all values of θ in the range 0° ! θ ! 180° that satisfy the equation 2. 2sin2 1 . [3]
- Summer 2024, AS Unit 1, Q15 (7 marks): y 2sin x 3cos 2 x 3 . 15. The diagram shows a sketch of part of the curve with equation The curve crosses the x-axis at the points O, A, B and C. y C O x
- 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 2023, AS Unit 1, Q2 (7 marks): Solve the following equation for values of θ between 0° and 360°. 0 2 2 2 3sin 5cos 2cos [7]
- Summer 2022, Unit 3, Q1 (6 marks): 1 Solve the equation 6sec2x – 8 = tanx for 0° X x X 360°. [6]
- Summer 2022, AS Unit 1, Q12 (9 marks): 2 a) Solve the equation 2x3 – x2 – 5x – 2 = 0. [6] Find all values of θ in the range 0° < θ < 180° satisfying b) cos(2θ– 51°) = 0.891. [3]
- Summer 2019, Unit 3, Q4 (9 marks): Express 5sinx – 12cosx in the form Rsin(x – α ), where R > 0 and 0° < α< 90°. a) 0 4 [3] 4 b) Find the minimum value of . [2] 5sinx −12cosx +15 c) Solve the equ
- 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 2019, AS Unit 1, Q1 (6 marks): 1 Solve the following equation for values of θ between 0° and 360°. 3tanθ + 2cosθ = 0 [6]
- Summer 2018, Unit 3, Q4 (5 marks): 4 Solve the equation 2tan2θ + 2tanθ– sec2θ = 2, for values of θbetween 0° and 360°. [5]
- Summer 2018, Unit 3, Q13 (8 marks): Express 8sinθ– 15cosθ in the form Rsin(θ– α), where R and α are constants 1 3 a) with R > 0 and 0° < α < 90°. [3] Find all values of θ in the range 0° < θ < 360
- Summer 2018, AS Unit 1, Q3 (6 marks): 3 Solve the following equation for values of θ between 0° and 360°. 2 – 3cos2θ = 2sinθ. [6]
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