Question

How do you graph r(t)=(tsint, tcost, tcost)?

Answer 1

it looks to be a sphere of some sort

Answer 2

polar coordinated sphere maybe :)

Answer 3

I believe it is some sort of spiral.

Answer 4

yeah....that thing...spiral :)

Answer 5

tsint and tcost are the elements of a flat spiral.... that 3rd element is just moving it along another axis i believe

Answer 6

if w had a .... whats the hologram room on star trek?

Answer 7

thanks

Answer 8

Actually it traces an expanding spiral that bounces between ever increasing z values. You can see that the radius it's turning at increases as t increases and the distance it travels in z also increases with t.

Answer 9

would it be a spiralling cone then?

Answer 10

what if you change the middle term to -tcost?

Answer 11

It's not a cone because the position on the z axis is oscillating back and forth across the xy plane.