plumiTrig identities: AQA A‑Level Maths questions
AQA A-Level Maths past-paper questions on E.6 Trig identities, 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 5 questions on Trig identities, as a list
- June 2025, Paper 2, Q8 (6 marks): (a) Given that cos x ≠ 0 state the value of sec2 x – tan2 x [1 mark] 8 (b) Show that (3 sec x + 5 tan x)(5 sec x – 3 tan x) – 16 tan x cos x = N where N is an i
- June 2024, Paper 2, Q6 (6 marks): It is given that (2 sin θ + 3 cos θ)2 + (6 sin θ – cos θ)2 = 30 and that θ is obtuse. Find the exact value of sin θ. Fully justify your answer. [6 marks]
- June 2023, Paper 1, Q10 (8 marks): The curve with equation y = sinx° for −360 × x × 360 is shown below. A – 360 O y x B 360 10 (a) Point A on the curve has coordinates (a, 0.5) 10 (a) (i) Find th
- November 2021, Paper 1, Q10 (8 marks): (a) Given that y = tanx use the quotient rule to show that dy dx = sec2 x [3 marks] 10 (b) The region enclosed by the curve y = tan2 x and the horizontal line,
- June 2019, Paper 1, Q12 (7 marks): (a) Show that the equation 2 cot2 x + 2 cosec2 x = 1 + 4 cosecx can be written in the form a cosec2 x + b cosecx + c = 0 [2 marks] 12 (b) Hence, given x is obtu
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