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5.5 Small Angle Approximations

5.5 Small Angle Approximations

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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.

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5.5 Small Angle Approximations Questions

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

25 exam-style questions on Edexcel A Level Maths 5.5 Small Angle Approximations. Each one has a worked solution and a mark scheme showing where the marks go.

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