so I tried getting the equation from the data set up above, but I don't know if i did it right. If someone could please just check for me and tell me if im missing anything that'd be really good. Thank you

cpears May 4, 2022

#1**+1 **

You did a pretty good job !!!!

I would shift the graph to the right by pi/6 so we get

y = -20cos (pi*x / 6 - pi/6) + 51

It lines up a little better this way.......the temps will not be exact for all months because we don't have constant changes between them, but this is about the best you can do with a periodic trig function

See the graph here with a few selected points : https://www.desmos.com/calculator/zxwgqqtjzl

CPhill May 4, 2022