2026 HGV P1 Q5

2026 HGV P1 Q5

Secondary 4
7 marks

It is given that \(y=6\cos4x-1\).

  1. State the amplitude and period of \(y\).[2]
  2. State the maximum and minimum values of \(y\).[2]
  3. Sketch the graph of \(y=6\cos4x-1\) for \(0\le x\le\pi\).[3]

Solution:

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Answer:(a) Amplitude \(6\), period \(\dfrac\pi2\). (b) Maximum \(5\), minimum \(-7\). (c) Sketch shown.

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