Question

find a rectangular eqn for the cycloid defined by the parametric eqns:
x= a(θ-sinθ)
y= a(1-cosθ)
0<= θ <= pi

Answer 1

Please help, I'm just a little screwed with calc

Answer 2

Trace out a cycloid, determine its length. I'll give you a start it starts at 0 and goes to?

Answer 3

Determine the length of r, radius. i meant to say

Answer 4

(a)pi

Answer 5

hmm, so we have the parameters, could i just solve for θ and put everything in terms of x and y?

Answer 6

I'm trying to get rectangular, so I assume total x & y components

Answer 7

Am I right or am I just crazy?

Answer 8

I think it has something to with the radius, radius being the length of x
So r=a(theta-sintheta)
The equation in polar coordinates is r^2=(that thing above)squared Turn this one into rectangular