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Question 102

When θ \theta\,θ is small, cos⁡θsin⁡θ\displaystyle \frac{\cos \theta}{\sin \theta}sinθcosθ​ can be approximated by 2−θ22θ\displaystyle \frac{2 - \theta^2}{2\theta}2θ2−θ2​. For θ=π30\displaystyle \theta=\frac{\pi}{30}θ=30π​,

Calculate the percentage error in your approximation, giving your answer to 3 significant figures

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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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