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9709/12

Mathematics 9709/12 — May/June 2010

Cambridge AS Level · Pure Mathematics 1 · worked solutions for every part, with the mark scheme

11
questions
75
marks
105
minutes

Topics Quadratics · Trigonometry · Integration · Functions · Coordinate Geometry · Series · +1 more

Q1TrigonometryFree sample
(i)

Show that the equation

3(2sin⁡x−cos⁡x)=2(sin⁡x−3cos⁡x)3(2 \sin x - \cos x) = 2(\sin x - 3 \cos x)

can be written in the form tan⁡x=−34\tan x = -\frac{3}{4}.

2M
(ii)

Solve the equation 3(2sin⁡x−cos⁡x)=2(sin⁡x−3cos⁡x)3(2 \sin x - \cos x) = 2(\sin x - 3 \cos x), for 0∘≤x≤360∘0^\circ \le x \le 360^\circ.

2M

The rest of this paper

10 more questions
  • Q2Integration4M
  • Q3Quadratics · Functions5M
  • Q4Coordinate Geometry6M
  • Q5Coordinate Geometry6M
  • Q6Series7M
  • Q7Series8M
  • Q8Differentiation8M
  • Q9Integration · Quadratics8M
  • Q10Differentiation · Quadratics9M
  • Q11Trigonometry · Functions10M
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