plumiTrigonometric identities: AQA Level 2 Further Maths questions
Every AQA Level 2 Further Maths exam question on 6.9 Trigonometric identities, 2021–2025, with its mark scheme and examiner’s report.
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All 7 questions on Trigonometric identities, as a list
- June 2025, Paper 1, Q21 (2 marks): Show that 2 2 2 20 3 cos 3 sin sin x x x + − can be simplified to ktan2 x where k is an integer.
- 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 2, Q20 (3 marks): Show that 2 sin3 x + 2 sin x cos2 x + 5 tan x cos x simplifies to p sin x where p is a constant.
- June 2022, Paper 1, Q21 (3 marks): Show that + x x x x − ≡− 2 2 2 2 4cos 3sin 4 tan cos
- November 2021, Paper 2, Q20 (4 marks): Show that + 2sin cos tan x x x – 1 sin x can be written in the form acos x + bsin x where a and b are integers.
- 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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