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Radians

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Question 51

Given that θ \theta\,θ is small and is measured in radians, use the small angle approximations to find an approximate value of

3θtan⁡θcos⁡2θ−1 \frac{3\theta \tan \theta}{\cos 2\theta - 1} cos2θ−13θtanθ​
a.

Show that cos⁡2θ−1≈−2θ2\cos 2\theta - 1 \approx -2\theta^2cos2θ−1≈−2θ2.

[1]
b.

Hence find an approximate value of the expression.

[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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