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4 marksGraphs of Non-Linear Functions

CSEC Mathematics · January 2009 · Paper 2 · Question 11(a)(ii)

This section covers geometry and trigonometry.

Using a scale of 2 cm to represent 10° (10 degrees) on the horizontal axis and 10 cm to represent 1 unit on the vertical axis, plot the values from the table and draw a smooth curve through your points.

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Other parts of this question

  1. 11(a)(i)Copy and complete the table for the graph of y = (1/2)tan x, for 10° ≤ x ≤ 60°.[1 mark]
  2. 11(a)(iii)Use your graph to estimate the value of x when y = 0.7.[1 mark]
  3. 11(b)(i)Calculate, giving reasons for your answer, the size of angle OAE.[2 marks]
  4. 11(b)(ii)Calculate, giving reasons for your answer, the size of angle AOB.[3 marks]
  5. 11(b)(iii)Calculate, giving reasons for your answer, the size of angle ACB.[2 marks]
  6. 11(b)(iv)Calculate, giving reasons for your answer, the size of angle ADB.[2 marks]

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