Trigonometry - Trigonometric Graphs and Parameters

Trigonometry - Trigonometric Graphs and Parameters

The sketch below shows part of the graph of \(y = a \sin (bx) + c\), where \(x\) is in degrees.

  1. Write down the values of \(a\), \(b\) and \(c\).
  2. When \({x = 16\frac{2}{3}^\circ}\), \({y = -\frac{1}{2}}\). Use the sketch to write down three further values of \({x}\) between \({0}\) and \({300}\) for which \({y = -\frac{1}{2}}\).

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Answer:(i) a=3, b=9/5, c=-2. (ii) 83 1/3 degrees, 216 2/3 degrees, 283 1/3 degrees.

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