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Question 75

When x x\,x is small,

a.

show that tan⁡(6x)cos⁡(4x)\tan (6x) \cos (4x)tan(6x)cos(4x) can be approximated by 6x+24x36x + 24x^36x+24x3

[3]
b.

Hence, approximate the value of tan⁡(0.6)cos⁡(0.4)\tan (0.6) \cos (0.4)tan(0.6)cos(0.4)

[2]
c.

Calculate the percentage error in your approximation

[1]
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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