2024 IGCSE Additional Mathematics February/March 0606/12 Q1

2024 IGCSE Additional Mathematics February/March 0606/12 Q1

5 marks

Given that \(y=2+4\cos3\theta\), for \(-120^\circ\leq\theta\leq120^\circ\),

  1. write down the amplitude of \(y\)[1]
  2. write down the period of \(y\).[1]
  3. On the axes, sketch the graph of \(y\).[3]

Solution:

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Answer:(a) \(4\) (b) \(120^\circ\) (c) Sketch shown; maxima \(6\), minima \(-2\), zeros \(\pm40^\circ,\pm80^\circ\).

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