To write an equation for a sine or cosine graph, you must: 1) Determine whether to use sine or cosine based on whether the y-intercept is in the middle or at an extreme. 2) Find the amplitude and period to determine the frequency ω. 3) Note any vertical shift. 4) Check for reflection. The document provides instructions on writing equations from sine and cosine graphs by identifying the appropriate trigonometric function based on the y-intercept, determining the amplitude, period, frequency, any shifts, and whether there is a reflection. It concludes by assigning practice problems from the textbook.

1. 5.4 The Graphs of Sine and CosineWriting an equation from the graph

2. To write an equation:Determine whether to use sine or cosineIf the y-intercept is in the middle of the graph, use sineIf the y-intercept is at a maximum or a minimum, use cosine.Determine the amplitude of the functionDetermine the period of the functionUse the period to find ωDetermine the vertical shiftDetermine 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. Assignmentp. 416 # 62 – 70 even, 75 - 88