2023 ACSBR AM S3 EOY Q6

2023 ACSBR AM S3 EOY Q6

Secondary 3
5 marks
  1. Sketch on the same diagram, the graph of \(y = 3 \cos 2x + 1\) and the graph of \(y = \sin x\) for \(0{}^\circ \le x \le 360{}^\circ\).[4]
  2. State the number of solutions in the interval \(0{}^\circ \le x \le 360{}^\circ\) for the equation \(\sin x - 1 = 3 \cos 2x\).[1]

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Answer:(a) Sketch using the stated key points (b) \(4\) solutions

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