plumiTrigonometry: CAIE A‑Level Maths questions
Every CAIE A-Level Maths exam question on 2.3 Trigonometry, June 2024 and the specimen papers, with its mark scheme and examiner’s report.
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![June 2024 Paper 2, question 4: tan 2 8 tan + . 1 i + i 4 (a) Show that 3 tan 2 tan ( 45 °) [4] i + i + / 1 tan 2 - i 7 (b) Hence solve the equation 3 tan 2 tan ( 45 ° ) 4 for ° 0 1 1 180 ° .](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/970921-jun24-04-qp.webp)
![Specimen Paper 2, question 2: Solve the equation 3 sin 2θ tan θ = 2 for 0° < θ < 180°. [4]](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/970902-spec-02-qp.webp)
![Specimen Paper 2, question 7: cos 2x – 2 7 (a) Show that tan2x + cos2x ≡ sec2x + 2 1 and hence find the exact value of 1 y 4 r ( tan 2 x + cos x 2 )d x . [7] 0 13 (b) y x O 1 4π 1 π and y =](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/970902-spec-07-qp.webp)
All 4 questions on Trigonometry, as a list
- June 2024, Paper 2, Q4 (7 marks): tan 2 8 tan + . 1 i + i 4 (a) Show that 3 tan 2 tan ( 45 °) [4] i + i + / 1 tan 2 - i 7 (b) Hence solve the equation 3 tan 2 tan ( 45 ° ) 4 for ° 0 1 1 180 ° .
- June 2024, Paper 2, Q6 (9 marks): y x O 1 6 r The diagram shows the curve with equation y sin 2 x sin 2 2 x for 0 x 1 r. The shaded region is = + G G 6 1 r bounded by the curve and the straight
- Specimen, Paper 2, Q2 (4 marks): Solve the equation 3 sin 2θ tan θ = 2 for 0° < θ < 180°. [4]
- Specimen, Paper 2, Q7 (11 marks): cos 2x – 2 7 (a) Show that tan2x + cos2x ≡ sec2x + 2 1 and hence find the exact value of 1 y 4 r ( tan 2 x + cos x 2 )d x . [7] 0 13 (b) y x O 1 4π 1 π and y =
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