plumiTrig proofs: OCR MEI A‑Level Maths questions
OCR MEI A-Level Maths past-paper questions on 5.10 Trig proofs, 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 4 questions on Trig proofs, as a list
- June 2025, Paper 3, Q13 (3 marks): tan A tan B + 13 Use tan ( A B ) , with suitable choices for A and B, to show that + = 1 tan A tan B - 2 t ( 3 t ) - tan 3 , where t tan , as given in line 25.
- June 2024, Paper 3, Q7 (3 marks): Prove that sin 8 tan 4 cos 8 = . 1 [3] i i + i
- June 2023, Paper 3, Q10 (6 marks): 2 3 6 4 2 2 4 6 10 (a) You are given that ( x y ) x 3 x y 3 x y y . + = + + + 6 6 3 2 Hence, or otherwise, prove that sin cos 1 sin 2 for all values of i. [4] +
- June 2019, Paper 1, Q6 (7 marks): sin 1 i 6 (a) Prove that cot . [4] - = i 1 cos sin - i i sin 1 i (b) Hence find the exact roots of the equation 3 tan in the interval 0 G r. - = G i i 1 cos sin
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