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.
- \(y = 8 \cos 8x + 8\), \(\frac{\pi}{2} \leq x \leq \pi\)
- \(y = -\frac{1}{3} \cos 3x + 2\), \(\pi \leq x \leq 2\pi\)
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Answer:(i) amplitude \(8\), period \(\dfrac{\pi}{4}\), range \(0 \le y \le 16\); (ii) amplitude \(\dfrac{1}{3}\), period \(\dfrac{2\pi}{3}\), range \(\dfrac{5}{3} \le y \le \dfrac{7}{3}\)
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