2025 Paradigm Sec 3 Mock EOY Q16

2025 Paradigm Sec 3 Mock EOY Q16

Secondary 3
4 marks

[Trigonometry Graph]

The function \(\mathrm{f}\) is defined by \(\mathrm{f}(x)=-3\cos(0.5x)\).

  1. Write down the period and amplitude of \(\mathrm{f}(x)\).[2]
  2. Sketch the graph of \(\mathrm{f}(x)\) for \(0^\circ\leq x\leq360^\circ\).[2]

Solution:

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Answer:(i) period \(720^\circ\), amplitude \(3\); (ii) increasing half-cycle from \((0^\circ,-3)\) through \((180^\circ,0)\) to \((360^\circ,3)\).

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