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Radians

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Question 107
a.

When θ \theta\,θ is small, show that cos⁡2θsin⁡2θ\displaystyle \frac{\cos 2\theta}{\sin 2\theta}sin2θcos2θ​ can be approximated by 1−2θ22θ\displaystyle \frac{1-2\theta^2}{2\theta}2θ1−2θ2​

[3]
b.

Hence, approximate the value of cos⁡π12sin⁡π12\displaystyle \frac{\cos \frac{\pi}{12}}{\sin \frac{\pi}{12}}sin12π​cos12π​​

[2]
c.

Calculate the percentage error in your approximation, giving your answer to 2 decimal places

[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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