5.5 Small Angle Approximations
17
0/7
a.

Show that, for small values of θ\thetaθ measured in radians,

3cos⁡2θ+sin⁡4θ−2tan⁡3θ≈A+Bθ+Cθ23 \cos 2\theta + \sin 4\theta - 2 \tan 3\theta \approx A + B\theta + C\theta^23cos2θ+sin4θ−2tan3θ≈A+Bθ+Cθ2

where AAA, BBB and CCC are constants to be found.

[4]
b.

Use your answer to part (a) to find an approximation for

3cos⁡0.12+sin⁡0.24−2tan⁡0.183 \cos 0.12 + \sin 0.24 - 2 \tan 0.183cos0.12+sin0.24−2tan0.18

Give your answer to three decimal places.

[3]

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