can someone try to solve this parametric eqn. problem?

Question

yuki · Answer

$$x_t = 6(t-\sin(t)), y_t = 6(1-\cos(t))$$

anonymous · Answer

-y+6=cost
arccos(-y+6)=t
x=6arccos(-y+6)-6sin(arccos(-y+6))

amistre64 · Answer

whats the problem?

amistre64 · Answer

are you trying to combine them into a funtion of x?

anonymous · Answer

Thats probably what he wanted.

amistre64 · Answer

probably :)

amistre64 · Answer

i wonder if t-sin(t) is a typo...

yuki · Answer

sorry guys, I was a bit busy

yuki · Answer

the thing is that t-sin(t) is not a typo and I know how to "eliminate t"

yuki · Answer

the problem is that a high school student asked me this question and I doubt that this is the answer that the school
wants them to find

yuki · Answer

the solution of y is implicit and I find that a little weird

yuki · Answer

so I was wondering if anyone could figure out what is really going on

amistre64 · Answer

not without further information about the problem...

amistre64 · Answer

guessing is the best you could hope for..

yuki · Answer

okay... well thanks for trying guys.
I'll give you medals for that.

anonymous · Answer

Umm I have the same problem in my course book. What they want you to do is differentiate y and x with respect to t and then divide both the equations so you end up with $$dy/dx$$