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Trigonometry: CAIE A‑Level Maths questions

Every CAIE A-Level Maths exam question on 1.5 Trigonometry, June 2024 and the specimen papers, with its mark scheme and examiner’s report.

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100 questions

  1. Q2

    June 2024 · Paper 1

    The whole paper ↗
    June 2024 Paper 1, question 2: y 1 x O 1 r 3 2 r 5 3r 7 2 r r 2 r 2 r 2 – 1 – 2 – 3 – 4 – 5 The diagram shows two curves. One curve has equation y sin x and the other curve has = equation y f
  2. Q5

    June 2024 · Paper 1

    The whole paper ↗
    June 2024 Paper 1, question 5: sin 2 x cos x 1 - - 5 (a) Prove the identity cos x . [3] / - 1 cos x + sin 2 x cos x 1 1 - - (b) Hence solve the equation for 0 ° x 360 ° . [3] = G G 2 2 cos x
  3. Q7

    Specimen · Paper 1

    The whole paper ↗
    Specimen Paper 1, question 7: (a) Show that the equation 1 + sin x tan x = 5 cos x can be expressed as 6 cos2x – cos x – 1 = 0. [3] 11 (b) Hence solve the equation 1 + sin x tan x = 5 cos x
All 3 questions on Trigonometry, as a list
  1. June 2024, Paper 1, Q2 (6 marks): y 1 x O 1 r 3 2 r 5 3r 7 2 r r 2 r 2 r 2 – 1 – 2 – 3 – 4 – 5 The diagram shows two curves. One curve has equation y sin x and the other curve has = equation y f
  2. June 2024, Paper 1, Q5 (6 marks): sin 2 x cos x 1 - - 5 (a) Prove the identity cos x . [3] / - 1 cos x + sin 2 x cos x 1 1 - - (b) Hence solve the equation for 0 ° x 360 ° . [3] = G G 2 2 cos x
  3. Specimen, Paper 1, Q7 (6 marks): (a) Show that the equation 1 + sin x tan x = 5 cos x can be expressed as 6 cos2x – cos x – 1 = 0. [3] 11 (b) Hence solve the equation 1 + sin x tan x = 5 cos x

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