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Radians

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Question 99

The diagram shows the graph of y=cos⁡xy = \cos xy=cosx where x x\,x is measured in radians.

Graph of y = cos x on a grid.

a.

Given the root of the equation cos⁡x−kx−0.5=0\cos x-kx-0.5=0cosx−kx−0.5=0, where k k\,k is a constant, is α=0.160\alpha=0.160α=0.160, and α \alpha\,α is small, use small angle approximations to find the value of k k\,k to 3 decimal places.

[3]
b.

Explain why the equation cos⁡x−3.045x−0.5=0\cos x-3.045x-0.5=0cosx−3.045x−0.5=0 only has one real root.

[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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