Skip to content

Course home

Radians

Radians

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263
Question 42
a.

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

3cos⁡2θ+sin⁡4θ−2tan⁡3θ≈A+Bθ+Cθ2 3 \cos 2\theta + \sin 4\theta - 2 \tan 3\theta \approx A + B\theta + C\theta^2 3cos2θ+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⁡0.18 3 \cos 0.12 + \sin 0.24 - 2 \tan 0.18 3cos0.12+sin0.24−2tan0.18

Give your answer to three decimal places.

[3]
Markscheme

Radians Questions

  1. A Level
  2. /Maths
  3. /Radians

69 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.

Question bank