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R sin(x + a) and R cos(x + a) past paper questions

Pure Maths 3 9709 · Trigonometry. Express a sin x + b cos x as R sin(x +/- a) or R cos(x +/- a) and use it, e.g. to solve equations or find maxima.

In Cambridge A Level Pure Maths 3 9709, R sin(x + a) and R cos(x + a) came up in 15 of the 42 papers on Paperstreak, for about 7 marks a paper when it does. It last came up in October/November 2025.

15 questions, newest first

1. 9709/31/O/N/25 Question 3 · 8 marks
2. 9709/31/M/J/25 Question 7 · 8 marks
3. 9709/32/M/J/25 Question 7 · 7 marks
4. 9709/33/M/J/24 Question 8 part (a) · 3 marks
5. 9709/32/F/M/24 Question 8 · 9 marks
6. 9709/33/M/J/23 Question 6 · 8 marks
7. 9709/32/F/M/23 Question 6 · 7 marks
8. 9709/32/O/N/22 Question 4 · 8 marks
9. 9709/33/O/N/22 Question 7 · 8 marks
10. 9709/31/O/N/21 Question 2 · 5 marks
11. 9709/33/O/N/21 Question 6 · 7 marks
12. 9709/32/F/M/21 Question 5 · 8 marks
13. 9709/31/O/N/20 Question 6 · 7 marks
14. 9709/33/O/N/20 Question 6 · 7 marks
15. 9709/32/M/J/20 Question 5 · 7 marks

More in Trigonometry: sec, cosec and cot, Compound and double angle formulae.

Questions and mark schemes from Cambridge International past papers. Paperstreak isn't affiliated with Cambridge.