Trigonometry tour #0 (Advanced)
Creator
Ethan (a student submission)
Difficulty
Advanced
On to the Challenge!
Can you create the following graph using desmos.com or some other graphing tool? If you’re victorious, leave us a note in the comments when you’re done.
the graph that I came up with is here:
https://www.desmos.com/calculator/awo3icowsm
basically, it is a cosine function whose frequency has zeros at pi^2/3 and has asymptotes between each pair of zeros. Both tan(x/3) and abs(tan(x/3)) have these properties, and so the equation could be either y=cos(tan(x/3)) or y=cos(tabs(tan(x/3))).
https://www.desmos.com/calculator/re2bhrapcv I came up with something similar to Brandon, but noticed that the relative maxima were all valued at around .8, so I multiplied by .8