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9709/13

Mathematics 9709/13 — May/June 2012

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

11
questions
75
marks
105
minutes

Topics Trigonometry · Coordinate Geometry · Differentiation · Series · Integration · Circular Measure · +2 more

Q1TrigonometryFree sample
(i)

Prove the identity tan⁡2θ−sin⁡2θ≡tan⁡2θsin⁡2θ\tan^2 \theta - \sin^2 \theta \equiv \tan^2 \theta \sin^2 \theta.

3M
(ii)

Use this result to explain why tan⁡θ>sin⁡θ\tan \theta > \sin \theta for 0∘<θ<90∘0^\circ < \theta < 90^\circ.

1M

The rest of this paper

10 more questions
  • Q2Coordinate Geometry5M
  • Q3Series6M
  • Q4Trigonometry6M
  • Q5Integration6M
  • Q6Series7M
  • Q7Differentiation · Coordinate Geometry7M
  • Q8Trigonometry · Circular Measure7M
  • Q9Integration · Differentiation8M
  • Q10Coordinate Geometry · Quadratics9M
  • Q11Differentiation · Functions10M
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