Find an Equation for the Sine or Cosine Wave - Concept

Concept Concept (1)

When finding the equation for a trig function, try to identify if it is a sine or cosine graph. To find the equation of sine waves given the graph, find the amplitude which is half the distance between the maximum and minimum. Next, find the period of the function which is the horizontal distance for the function to repeat. If the period is more than 2pi, B is a fraction; use the formula period=2pi/B to find the exact value. Last, find any phase shift, h.

Sample Sample Problems (3)

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Find an Equation for the Sine or Cosine Wave - Problem 1
Problem 1
How to identify the graph of a stretched and reflected sine curve.
Find an Equation for the Sine or Cosine Wave - Problem 2
Problem 2
How to identify the graph of a stretched and shifted cosine curve.
Find an Equation for the Sine or Cosine Wave - Problem 3
Problem 3
How to model periodic data with a stretched and shifted cosine curve.