Trigonometry - Trigonometric Graphs and Parameters

Trigonometry - Trigonometric Graphs and Parameters

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

  1. Write down the values of \(a\), \(b\) and \(c\).
  2. When \(x = 45^\circ, y = 3.5\). Use the sketch to write down two further values of \(x\) between \(0\) and \(405\) for which \(y = 3.5\).

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Answer:(i) \(a=3\), \(b=\frac{4}{3}\), \(c=2\) (ii) \(225^\circ\), \(315^\circ\)

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