Long description: Block1fig3

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A graph showing a sinusoidal wave of the function \(y = \text{sin}(2t)\) with the horizontal distance between two consecutive peaks labeled as the period.

Alt text: A graph showing a sinusoidal wave of the function \(y = \text{sin}(2t)\) with the horizontal distance between two consecutive peaks labeled as the period.

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  • The image displays a graph of a periodic function, specifically \(y = \text{sin}(2t)\), plotted on a two-dimensional coordinate system.
  • The horizontal axis represents the variable \(t\), and the vertical axis represents the variable \(y\).
  • The wave oscillates between a maximum value of one and a minimum value of negative one.
  • The graph illustrates that the horizontal distance required for the function to complete one full cycle, known as the period, is marked underneath the wave.
  • The labels indicate that one complete period spans from \(t=0\) to \(t=\text{pi}\), and also spans from \(t=\text{pi}/2\) to \(t=3\text{pi}/2\), visually demonstrating the calculated period for this function.

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