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Question 122

When θ \theta\,θ is small,

a.

show that sin⁡θcos⁡θ\displaystyle \frac{\sin \theta}{\cos \theta}cosθsinθ​ can be approximated by 2θ2−θ2\displaystyle \frac{2\theta}{2 - \theta^2}2−θ22θ​

[3]
b.

Hence, approximate the value of sin⁡π24cos⁡π24\displaystyle \frac{\sin \frac{\pi}{24}}{\cos \frac{\pi}{24}}cos24π​sin24π​​

[2]
c.

Calculate the percentage error in your approximation

[1]
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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