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Question 32

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

\frac{1 - \cos(14\phi)}{\phi \sin(7\phi)}

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

\approx A

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

[4]

Markscheme

Radians Questions

A Level
Maths
Radians

69 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.

Radians

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Radians

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Question 32

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

\frac{1 - \cos(14\phi)}{\phi \sin(7\phi)}

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

\approx A

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

[4]

Markscheme

Radians Questions

A Level
Maths
Radians