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Question 49
a.

Write down the approximations for sin⁡x3\displaystyle \sin \frac{x}{3}sin3x​ and tan⁡x2\displaystyle \tan \frac{x}{2}tan2x​ for small values of xxx.

[1]
b.

Hence show that, for small values of xxx, the graph of y=3+6sin⁡x3−8tan⁡x2\displaystyle y = 3 + 6 \sin \frac{x}{3} - 8 \tan \frac{x}{2}y=3+6sin3x​−8tan2x​ can be approximated by a straight line.

[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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