2022 BTYSS P1 Q4

2022 BTYSS P1 Q4

Secondary 4
4 marks

Given that the period of \(y=5\sin bx-2\) is \(120^\circ\).

  1. Find the value of \(b\).[1]
  2. On the axis below, sketch the graph of \(y=5\sin bx-2\) for \(-90^\circ\le x\le180^\circ\).[3]

Solution:

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Answer:(a) \(b=3\) under the positive-frequency convention (period alone allows \(b=\pm3\)). (b) Sketch shown for \(b=3\).

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