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1.8.2 Small angle approximations (A-level only)

1.8.2 Small angle approximations (A-level only)

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Question 13

An optical sensor measures the flux F F\,F of light entering an aperture at a small angle ϕ \phi\,ϕ radians. The flux is modelled by the expression:

F=1−cos⁡(14ϕ)ϕsin⁡(7ϕ) F = \frac{1 - \cos(14\phi)}{\phi \sin(7\phi)} F=ϕsin(7ϕ)1−cos(14ϕ)​

Using small angle approximations, show that for small, non-zero values of ϕ\phiϕ,

F≈A F \approx A F≈A

where A A\,A is a constant to be determined.

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1.8.2 Small angle approximations (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.8.2 Small angle approximations (A-level only)

25 exam-style questions on AQA A Level Maths 1.8.2 Small angle approximations (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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