plumiTrigonometric equations: AQA Level 2 Further Maths questions
Every AQA Level 2 Further Maths exam question on 6.10 Trigonometric equations, 2021–2025, with its mark scheme and examiner’s report.
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All 6 questions on Trigonometric equations, as a list
- June 2025, Paper 2, Q21 (5 marks): (a) θ is an angle between 270° and 360° cos θ = k 5 1 and tan θ = –3k where k is a positive constant. Work out the value of θ. Answer ° 21 (b) Work out the valu
- June 2024, Paper 1, Q22 (4 marks): f(x) = + + x x x x x x 2 2 3 sin cos sin 12cos 4sin cos Simplify f(x) and hence solve f(x) = – 3 4 for 90° < x < 180° You must show your working. x =
- June 2023, Paper 1, Q12 (4 marks): (a) Write down the value of x for 0° ⩽ x ⩽ 360° when sin x = –1 x = 12 (b) Work out the values of y for 0° ⩽ y ⩽ 360° when √3 tan y = 1 Answer
- June 2022, Paper 2, Q21 (4 marks): Work out the values of x between 0° and 360° for which 2 tan2 x = 3 Give your answers to 1 decimal place. You must show your working. Answer
- November 2021, Paper 1, Q15 (2 marks): Work out the value of x where 0° ⩽ x ⩽ 90° for which 3 tan2 x = 1 Answer
- Specimen, Paper 1, Q20 (5 marks): (a) Show that θ θ ≡ − 2 2 2cos 2 2sin 20 (b) Hence, solve θ θ + = 2 2cos 3sin 3 for θ < < 0 180 Answer
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