# Answer to Question #25182 in Trigonometry for Alec Barger

Question #25182

Bunches of harmonic motion

Graph (on some electronic gadget - not here) a*cos(nx) where you choose the

value of “a” to simply magnify the amplitude enough to see some detail.

If you must; on the TI-84Plus:

Set the angle mode to radians,

Set “window”: x-min=0, x-max=14, x-scl=1, y-min=-5, y-max=5, yscl=

1.

Set up 10 functions using “y=”. Use n = 1, 2, 3, …, 10.

Graph all at once.

If you can arrange to graph it on another device with better resolution, use a

larger n.

Describe the pattern you see. Why does it look that way?

Graph (on some electronic gadget - not here) a*cos(nx) where you choose the

value of “a” to simply magnify the amplitude enough to see some detail.

If you must; on the TI-84Plus:

Set the angle mode to radians,

Set “window”: x-min=0, x-max=14, x-scl=1, y-min=-5, y-max=5, yscl=

1.

Set up 10 functions using “y=”. Use n = 1, 2, 3, …, 10.

Graph all at once.

If you can arrange to graph it on another device with better resolution, use a

larger n.

Describe the pattern you see. Why does it look that way?

Expert's answer

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