How does the period affect the sine and cosine graph

The video tutorial explains the concepts of cosine and sine functions, focusing on their periods. It discusses how the period of these functions is 2π and how multiplying the variable inside the function can alter the period. The tutorial demonstrates graphing both cosine and sine functions with altered periods, highlighting the changes in critical points and the overall shape of the graphs.

Describe the graphing process for the sine function and how its period affects its shape.

What happens to the sine graph when the period is changed to 4π?

How do you find the new critical points when the period of a function is altered?