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Radians

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Question 120
a.

For a small angle θ\thetaθ, where θ \theta\,θ is in radians, show that 2θ+3≈2cos⁡θ+(sin⁡θ+1)22\theta + 3 \approx 2 \cos \theta + (\sin \theta + 1)^22θ+3≈2cosθ+(sinθ+1)2

[3]
b.

Hence determine an approximate solution to 20tan⁡θ≈2cos⁡θ+(sin⁡θ+1)220 \tan \theta \approx 2 \cos \theta + (\sin \theta + 1)^220tanθ≈2cosθ+(sinθ+1)2

[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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