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