Trigonometry - Trigonometric Graphs and Parameters

Trigonometry - Trigonometric Graphs and Parameters

TGM Original Questions

On a separate diagram, sketch each of the following graphs for the given interval, stating the amplitude, the period and the range of values of \(y\) corresponding to the interval.

  1. \(y = \frac{1}{2} \cos 3x\), \(-360^\circ \le x \le 0^\circ\)
  2. \(y = 5 \cos \pi x\), \(0 \le x \le 6\)

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Answer:(i) amplitude \(\dfrac{1}{2}\), period \(120^\circ\), range \(-\dfrac{1}{2} \le y \le \dfrac{1}{2}\); (ii) amplitude \(5\), period \(2\), range \(-5 \le y \le 5\)

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