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Question 104

When x x\,x is small, tan⁡(4x)cos⁡(3x)\tan (4x) \cos (3x)tan(4x)cos(3x) can be approximated by 4x−18x34x - 18x^34x−18x3.

Using this approximation, the approximate value of tan⁡(0.4)cos⁡(0.3)\tan (0.4) \cos (0.3)tan(0.4)cos(0.3) is 0.382.

Calculate the percentage error in your approximation

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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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