plumiFurther trigonometry: WJEC A‑Level Further Maths questions
Every WJEC A-Level Further Maths exam question on 4.2 Further trigonometry, 2018–2025, with its mark scheme and examiner’s report.
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All 10 questions on Further trigonometry, as a list
- Summer 2025, Unit 4, Q2 (20 marks): 2. (a) Using mathematical induction, prove that n cos isin cos isin n n for positive integer values of n. [7] 4 2 Show that cos4 can be writt
- Summer 2025, Unit 4, Q8 (9 marks): t tan 2 4cos 7sin 4 tan 2 8. (a) By putting , show that the equation can be written as 3 8 2 15 0 t t t . [3] 4cos 7sin
- Summer 2024, Unit 4, Q9 (9 marks): 9. Find the general solution of the equation 2 sin 6 2cos 3cos2 sin 2 . 1 [9]
- Summer 2023, Unit 4, Q6 (16 marks): 2( ). 1− t2 , where t = tan θ Show that tan θ may be expressed as 2t 6. (a) [1] The diagram below shows a sketch of the curve C with polar equation r = cos θ ⎛
- Summer 2023, Unit 4, Q12 (6 marks): 12. Find the general solution of the equation cos4θ + cos2θ = cosθ. [6]
- Summer 2022, Unit 4, Q3 (9 marks): 2( ) , show that the equation By putting t = tan θ 3. (a) 4sinθ + 5cosθ= 3 can be written in the form 4t2 − 4t −1= 0. [3] (b) Hence find the general solution of
- Summer 2022, Unit 4, Q6 (6 marks): 6. Solve the equation cos2θ– cos4θ = sin3θ for 0 X θX π. [6]
- Summer 2022, Unit 4, Q9 (12 marks): ( ) 3 Expand cosθ 3 + isinθ 9. (a) (i) . 3 Hence, by using de Moivre’s theorem, show that cosθ can be expressed as (ii) 4cos3 θ 3 − 3cosθ . [6] 3 Hence, or othe
- Summer 2019, Unit 4, Q2 (9 marks): 2( ) 6t + 2 − 6t2 t = tan x Show that 3sin x + 4cos x – 2 can be written as , where . [2] 2. (a) 1+ t2 Hence, find the general solution of the equation 3sin x +
- Summer 2019, Unit 4, Q5 (8 marks): Show that sinθ – sin3θ can be expressed in the form a cos bθ sinθ, where a, b are 5. (a) integers whose values are to be determined. [3] Find the mean value of
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