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4 marksConcepts of Geometry

CSEC Mathematics · January 2005 · Paper 2 · Question 12(a)(i)

For this question, take the radius of the earth to be 6370 km and π = 22/7. Two points, A and B, are located on the surface of the earth at (45°N, 40°E) and (45°N, 20°W) respectively.

Draw a diagram to represent the earth showing the equator, the line of 0° longitude, and points A and B.

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Other parts of this question

  1. 12(a)(ii)Calculate the shortest distance between A and B measured along their common circle of latitude.[4 marks]
  2. 12(b)(i)Given that y = 2 - cos x, copy and complete the table below.[7 marks]
  3. 12(b)(ii)Using a scale of 2 cm to represent 30° on the x-axis, and 1 cm to represent 0.2 on the y-axis, draw the graph of y = 2 - cos x for 0° ≤ x ≤ 180°.[7 marks]
  4. 12(b)(iii)Using the graph, or otherwise, determine the value of x for which 2 - cos x = 1.8.[7 marks]

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