plumiTrig identities: OCR MEI A‑Level Maths questions
OCR MEI A-Level Maths past-paper questions on 5.6 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 11 questions on Trig identities, as a list
- June 2025, Paper 2, Q12 (6 marks): In this question you must show detailed reasoning 2i Solve the equation sec 3 2 tan 4 0 for 180 ° 180 ° . [6] + - = - 1 1 i i
- June 2025, AS Paper 1, Q6 (4 marks): In this question you must show detailed reasoning. 2 = Solve the equation cos 6 x 5 sin x giving all the roots in the interval ° 0 x 360 ° . [4] - 1 1
- June 2025, AS Paper 2, Q3 (2 marks): You are given that sin 5 9 cos and ° 0 360 ° . = 1 1 i i i Determine the possible values of i correct to 3 significant figures. [2]
- June 2024, AS Paper 1, Q4 (4 marks): The perpendicular lines AC and BD intersect at E as shown in the diagram. The point E is the midpoint of AC. The angles BAC and BDC are each equal to x°. The le
- June 2024, AS Paper 2, Q14 (6 marks): In this question you must show detailed reasoning. 2 Solve the equation 5 cos 6 sin 0 for ° 0 1 1 360 ° . [6] i i i - - = for question 15
- June 2023, Paper 3, Q1 (3 marks): In this question you must show detailed reasoning. 2 The obtuse angle i is such that sin . i = 13 Find the exact value of cos i. [3]
- June 2023, AS Paper 1, Q4 (5 marks): In this question you must show detailed reasoning. 2 + Solve the equation cos 6 x sin x = , giving all the roots in the interval 5 180 ° x 180 ° . [5] - G G
- November 2020, AS Paper 2, Q8 (6 marks): In this question you must show detailed reasoning. Solve the equation 3 cos 8 tan 0 for ° 0 1 1 360 ° , giving your answers correct to the + = i i i nearest deg
- June 2019, AS Paper 1, Q2 (3 marks): In this question you must show detailed reasoning. Fig. 2 shows the graphs of y 4 sin x ° and y 3 cos x ° for 0 x 360 . = = G G y 4 2 x 0 0 90 180 270 360 -2 -4
- June 2019, AS Paper 1, Q4 (5 marks): A triangle ABC has sides AB = 5 cm, AC = 9 cm and BC = 10 cm. (a) Find the cosine of angle BAC, giving your answer as a fraction in its lowest terms. [2] (b) Fi
- June 2018, Paper 1, Q3 (4 marks): In this question you must show detailed reasoning. 2i [4] Solve the equation sec 2 tan 4 for ° 0 1 360 ° . + i = G i
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