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Radians

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Question 109

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.

[4]
Markscheme

Radians Questions

  1. A Level
  2. /Maths
  3. /Radians

278 exam-style questions on Edexcel A Level Maths Radians, covering 5.1 Radian Measure, 5.2 Arc Length, 5.3 Areas of Sectors and Segments, 5.4 Solving Trigonometric Equations, and 5.5 Small Angle Approximations. Each one has a worked solution and a mark scheme showing where the marks go.

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