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5.4 The Graphs of Sine and Cosine Writing an equation from the graph
To write an equation: Determine whether to use sine or cosine If the y-intercept is in the middle of the graph, use sine If the y-intercept is at a maximum or a minimum, use cosine. Determine the amplitude of the function Determine the period of the function Use the period to find ω Determine the vertical shift Determine whether there is a reflection
Basic Equations *Note:  A horizontal shift is also possible, but you will not use it today.
Write an Equation for the graph
Write an Equation for the graph
Write an Equation for the graph
Write an Equation for the graph
Assignment p. 416   # 62 – 70 even,   75 - 88

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5.4.3 writing equations

  • 1. 5.4 The Graphs of Sine and Cosine Writing an equation from the graph
  • 2. To write an equation: Determine whether to use sine or cosine If the y-intercept is in the middle of the graph, use sine If the y-intercept is at a maximum or a minimum, use cosine. Determine the amplitude of the function Determine the period of the function Use the period to find ω Determine the vertical shift Determine whether there is a reflection
  • 3. Basic Equations *Note: A horizontal shift is also possible, but you will not use it today.
  • 4. Write an Equation for the graph
  • 5. Write an Equation for the graph
  • 6. Write an Equation for the graph
  • 7. Write an Equation for the graph
  • 8. Assignment p. 416 # 62 – 70 even, 75 - 88