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Radians

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Question 30
a.

When θ \theta\,θ is small, show that cos⁡θsin⁡θ\displaystyle \frac{\cos \theta}{\sin \theta}sinθcosθ​ can be approximated by 6−3θ26θ\displaystyle \frac{6 - 3\theta^2}{6\theta}6θ6−3θ2​

[3]
b.

Hence, approximate the value of cos⁡π18sin⁡π18\displaystyle \frac{\cos \frac{\pi}{18}}{\sin \frac{\pi}{18}}sin18π​cos18π​​

[2]
c.

Calculate the percentage error in your approximation

[2]
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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