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5.5 Small Angle Approximations

5.5 Small Angle Approximations

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Question 3
a.

When θ \theta\,θ is small, show that 3cos⁡θsin⁡θ\displaystyle \frac{3\cos \theta}{\sin \theta}sinθ3cosθ​ can be approximated by 6−3θ22θ\displaystyle \frac{6 - 3\theta^2}{2\theta}2θ6−3θ2​

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b.

Hence, approximate the value of 3cos⁡0.2sin⁡0.2\displaystyle \frac{3\cos 0.2}{\sin 0.2}sin0.23cos0.2​

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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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