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1.7.14 Small angle approximations (A-level only)

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Question 17

In a precision laser alignment system, the deviation ratio $D$ for a small angle of incidence $θ\theta$ (measured in radians, where $θ≠0\theta \neq 0$ ) is modeled by the function:

D(\theta) = \frac{3\theta \sin(4\theta)}{1 - \cos(5\theta)}

Using small angle approximations, show that for small values of $θ\theta$ , $D(θ)≈KD(\theta) \approx K$ where $K$ is a constant to be determined.

[3]

Markscheme

1.7.14 Small angle approximations (A-level only) Questions

A Level
Maths
1.7.14 Small angle approximations (A-level only)

24 exam-style questions on OCR (MEI) A Level Maths 1.7.14 Small angle approximations (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

1.7.14 Small angle approximations (A-level only)

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1.7.14 Small angle approximations (A-level only)

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Question 17

In a precision laser alignment system, the deviation ratio $D$ for a small angle of incidence $θ\theta$ (measured in radians, where $θ≠0\theta \neq 0$ ) is modeled by the function:

D(\theta) = \frac{3\theta \sin(4\theta)}{1 - \cos(5\theta)}

Using small angle approximations, show that for small values of $θ\theta$ , $D(θ)≈KD(\theta) \approx K$ where $K$ is a constant to be determined.

[3]

Markscheme

1.7.14 Small angle approximations (A-level only) Questions

A Level
Maths
1.7.14 Small angle approximations (A-level only)

24 exam-style questions on OCR (MEI) A Level Maths 1.7.14 Small angle approximations (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.