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3 marksProblem Solving with Graphs

CSEC Mathematics · May/June 2005 · Paper 2 · Question 12(a)(ii)

An answer sheet shows the graph of the circular function f(x) = 2 cos x + 1 for the interval 0° \le x \le 360°.

Using the two graphs, solve the equation 2 cos x = 1.

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Other parts of this question

  1. 12(a)(i)a)Using the graph, find the value of f(x) when x = 22.5°.[1 mark]
  2. 12(a)(i)b)Using the graph, find the values of x for which f(x) = 0.[2 marks]
  3. 12(a)(i)c)Using the graph, draw the line f(x) = 2.[1 mark]
  4. 12(b)(i)State why LMNS is a rectangle.[2 marks]
  5. 12(b)(ii)a)Calculate the size of angle LNS.[6 marks]
  6. 12(b)(ii)b)Calculate the size of angle LKS.[6 marks]
  7. 12(b)(ii)c)Calculate the size of angle LOS.[6 marks]

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