Did you know?
In mathematics, a cosine graph is a type of trigonometric function that represents the oscillating motion of an object. When graphed, it appears as a wave-like pattern. The function for a cosine graph can be determined by considering various factors. For instance, for a cosine graph with an amplitude of five, it means the maximum and minimum values will be five units apart from the midline. The period of pi over three implies that one complete cycle of the graph will occur every pi over three units. Additionally, a phase shift of negative pi over 12 represents a horizontal shift of the graph to the left by pi over 12 units. Lastly, the vertical shift down 77 indicates that the graph will be shifted downward by 77 units from the midline. Understanding these components helps in accurately plotting and interpreting cosine graphs.
