5.5 Small Angle Approximations
3
0/7
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​

[3]
b.

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

[2]
c.

Calculate the percentage error in your approximation

[2]

5.5 Small Angle Approximations Questions

Practise Edexcel A Level Maths 5.5 Small Angle Approximations with exam-style questions for A Level Maths. 25 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

PreviousNext

5.5 Small Angle Approximations Questions

  1. A Level
  2. /Maths
  3. /5.5 Small Angle Approximations