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Radians

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Question 74
a.

For a small angle θ\thetaθ, where θ \theta\,θ is in radians, show that 2cos⁡θ+(sin⁡θ+4)2≈8θ+182 \cos \theta + (\sin \theta + 4)^2 \approx 8\theta + 182cosθ+(sinθ+4)2≈8θ+18

[3]
b.

Hence determine an approximate solution to 2cos⁡θ+(sin⁡θ+4)2≈30tan⁡θ2 \cos \theta + (\sin \theta + 4)^2 \approx 30 \tan \theta2cosθ+(sinθ+4)2≈30tanθ

[2]
Markscheme

Radians Questions

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

278 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.

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