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.
- \(y = \frac{1}{5} \sin \pi x + 1, -3 \leq x \leq 3\)
- \(y = -6 \sin \frac{4\pi}{3} x - 3, -3 \leq x \leq 0\)
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Answer:(i) amplitude \(\dfrac{1}{5}\), period \(2\), range \(\dfrac{4}{5} \le y \le \dfrac{6}{5}\); (ii) amplitude \(6\), period \(\dfrac{3}{2}\), range \(-9 \le y \le 3\)
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