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A sketch of the graphs of two sinusoidal periodic functions f (x) & g(x) is shown below. The point P = (20,3), where the x-coordinate is given in degrees: Mathematics Assignment, TCD, Ireland

University Trinity College Dublin (TCD)
Subject Mathematics
  • A sketch of the graphs of two sinusoidal periodic functions f (x) & g(x) is shown below. The point P = (20,3), where the x-coordinate is given in degrees.

a) Determine the period and amplitude of each of these functions, and hence give Sine/Cosine formulae for them (preferably in a way that avoids the need to include a phase shift r).
b) Hence, or otherwise, evaluate 1(x) + g(x) when x = 60, and 100.

  • Sketch the graph of the rational function

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