plumiR cos(θ ± α) form: WJEC A‑Level Maths questions
WJEC A-Level Maths past-paper questions on 5.8 R cos(θ ± α) form, 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 R cos(θ ± α) form, as a list
- Summer 2024, Unit 3, Q2 (11 marks): Find all values of θ in the range 0° ! θ ! 360° satisfying 2. (a) 2 3cot 4cosec 5 [5] . , where R and α are constants with By writing 24cos x 7sin
- Summer 2023, Unit 3, Q6 (15 marks): cos cos cos sin sin 0 6 A B A B A B a) Using the trigonometric identity , show that 6 − 2 the exact value of cos75° is . [3] 4 Solve the equation 2cot
- Summer 2022, Unit 3, Q11 (5 marks): ( ) , where R and α are constants Express 9cosx + 40sinx in the form R cos x −α a) 1 1 with R 1 0 and 0° ! α ! 90°. [3] 12 b) Find the maximum possible value of
- Summer 2019, Unit 3, Q4 (9 marks): Express 5sinx – 12cosx in the form Rsin(x – α ), where R > 0 and 0° < α< 90°. a) 0 4 [3] 4 b) Find the minimum value of . [2] 5sinx −12cosx +15 c) Solve the equ
- Summer 2018, Unit 3, Q13 (8 marks): Express 8sinθ– 15cosθ in the form Rsin(θ– α), where R and α are constants 1 3 a) with R > 0 and 0° < α < 90°. [3] Find all values of θ in the range 0° < θ < 360
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