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. \(y = 3 \sin 2x\) , \(0^\circ \le x \le 360^\circ\)
  2. \(y = 6 \sin \frac{1}{4}x\) , \(-4\pi \le x \le 4\pi\)

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Answer:(i) amplitude 3, period 180 degrees, range -3 <= y <= 3; (ii) amplitude 6, period 8pi, range -6 <= y <= 6

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