what do the graphs of sine and cosine have in common with the swinging you see?

Brief Explanations:

Both sine and cosine graphs are periodic functions, and the swinging motion of the monkey is also a periodic - like motion. The position of the monkey changes in a repetitive pattern over time, similar to how the values of sine and cosine repeat over a fixed interval (the period).

Answer:

Both are periodic in nature. The graphs of sine and cosine are periodic functions with a fixed period, and the swinging motion of the monkey repeats itself over time, showing a similar periodic behavior.