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 the integers \(a\), \(b\) and \(c\).
  2. When \(x = 20^\circ\), \(y = 5.5\). Use the sketch to write down two further values of \(x\) between \(0\) and \(180\) for which \(y = 5.5\).

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Answer:(i) a=3, b=3, c=4. (ii) 100 degrees and 140 degrees.

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