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.
- \(y = -\frac{1}{2} \sin 6x + \frac{7}{2}, -\frac{2\pi}{3} \le x \le \frac{2\pi}{3}\)
- \(y = \frac{5}{6} \sin \frac{1}{3} x + \frac{5}{3}, -3\pi \le x \le 3\pi\)
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Answer:(i) amplitude \(\dfrac{1}{2}\), period \(\dfrac{\pi}{3}\), range \(3 \le y \le 4\); (ii) amplitude \(\dfrac{5}{6}\), period \(6\pi \), range \(\dfrac{5}{6} \le y \le \dfrac{5}{2}\)
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