Skip to content

Course home

1.8.2 Small angle approximations (A-level only)

1.8.2 Small angle approximations (A-level only)

EasyMediumHard
12345678910111213141516171819202122
Question 17

The lateral force FFF, measured in Newtons, exerted on a precision pendulum support is modeled by the function

F(θ)=14.5+54sin⁡(θ6)−16tan⁡(θ8) F(\theta) = 14.5 + 54 \sin \left( \frac{\theta}{6} \right) - 16 \tan \left( \frac{\theta}{8} \right) F(θ)=14.5+54sin(6θ​)−16tan(8θ​)

where θ\thetaθ is the angular displacement from the vertical in radians. Show that, for small values of θ\thetaθ, the graph of FFF against θ\thetaθ can be approximated by a straight line, and state the equation of this line.

[4]
Markscheme

1.8.2 Small angle approximations (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.8.2 Small angle approximations (A-level only)

25 exam-style questions on AQA A Level Maths 1.8.2 Small angle approximations (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank