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5.5 Small Angle Approximations

5.5 Small Angle Approximations

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Question 9
a.

Given that θ \theta\,θ is small, use the small angle approximation of cos⁡θ \cos \theta\,cosθ to show that

4cos⁡(θ)+cos⁡2(2θ)≈5−6θ2+4θ4 4 \cos(\theta) + \cos^2(2\theta) \approx 5 - 6\theta^2 + 4\theta^4 4cos(θ)+cos2(2θ)≈5−6θ2+4θ4
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b.

Hence find an approximation of 4cos⁡(θ)+cos⁡2(2θ)4 \cos(\theta) + \cos^2(2\theta)4cos(θ)+cos2(2θ) when θ=3∘\theta = 3^\circθ=3∘

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c.

Calculate the percentage error in your approximation

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Markscheme

5.5 Small Angle Approximations Questions

  1. A Level
  2. /Maths
  3. /5.5 Small Angle Approximations

25 exam-style questions on Edexcel A Level Maths 5.5 Small Angle Approximations. Each one has a worked solution and a mark scheme showing where the marks go.

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